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Finding the Fourth Proportional to 532,130,472.58, 729,006,560.55 and 512,235,355.45

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Solution

The fourth proportional to 532,130,472.58, 729,006,560.55 and 512,235,355.45 is: 701,750,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,130,472.58 : 729,006,560.55 = 512,235,355.45 : x
  2. Step 2: Convert to fraction form
    532,130,472.58/729,006,560.55 = 512,235,355.45/x
  3. Step 3: Cross multiply
    532,130,472.58x = 729,006,560.55 × 512,235,355.45
  4. Step 4: Simplify right side
    532,130,472.58x = 373,422,934,668,711,168
  5. Step 5: Solve for x
    x = 373,422,934,668,711,168/532,130,472.58
  6. Step 6: Final answer
    x = 701,750,705.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.