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Finding the Fourth Proportional to 771,293,214.16, 1,064,710,355.72 and 520,737,016.68

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Solution

The fourth proportional to 771,293,214.16, 1,064,710,355.72 and 520,737,016.68 is: 718,836,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,293,214.16 : 1,064,710,355.72 = 520,737,016.68 : x
  2. Step 2: Convert to fraction form
    771,293,214.16/1,064,710,355.72 = 520,737,016.68/x
  3. Step 3: Cross multiply
    771,293,214.16x = 1,064,710,355.72 × 520,737,016.68
  4. Step 4: Simplify right side
    771,293,214.16x = 554,434,094,265,934,400
  5. Step 5: Solve for x
    x = 554,434,094,265,934,400/771,293,214.16
  6. Step 6: Final answer
    x = 718,836,992.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.