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Finding the Fourth Proportional to 684,295,223.40, 960,431,959.80 and 684,295,223.40

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Solution

The fourth proportional to 684,295,223.40, 960,431,959.80 and 684,295,223.40 is: 960,431,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,295,223.40 : 960,431,959.80 = 684,295,223.40 : x
  2. Step 2: Convert to fraction form
    684,295,223.40/960,431,959.80 = 684,295,223.40/x
  3. Step 3: Cross multiply
    684,295,223.40x = 960,431,959.80 × 684,295,223.40
  4. Step 4: Simplify right side
    684,295,223.40x = 657,219,002,491,840,768
  5. Step 5: Solve for x
    x = 657,219,002,491,840,768/684,295,223.40
  6. Step 6: Final answer
    x = 960,431,959.80

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Half scale
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Double scale
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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.