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Finding the Fourth Proportional to 684,295,298.40, 960,432,064.80 and 684,295,298.40

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Solution

The fourth proportional to 684,295,298.40, 960,432,064.80 and 684,295,298.40 is: 960,432,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,295,298.40 : 960,432,064.80 = 684,295,298.40 : x
  2. Step 2: Convert to fraction form
    684,295,298.40/960,432,064.80 = 684,295,298.40/x
  3. Step 3: Cross multiply
    684,295,298.40x = 960,432,064.80 × 684,295,298.40
  4. Step 4: Simplify right side
    684,295,298.40x = 657,219,146,375,244,032
  5. Step 5: Solve for x
    x = 657,219,146,375,244,032/684,295,298.40
  6. Step 6: Final answer
    x = 960,432,064.80

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Half scale
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Double scale
Find fourth proportional to 684,295,299.40, 960,432,066.20 and 684,295,299.40
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.