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Finding the Fourth Proportional to 460,427,400.80, 689,403,508.80 and 350,730,006.80

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Solution

The fourth proportional to 460,427,400.80, 689,403,508.80 and 350,730,006.80 is: 525,152,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,427,400.80 : 689,403,508.80 = 350,730,006.80 : x
  2. Step 2: Convert to fraction form
    460,427,400.80/689,403,508.80 = 350,730,006.80/x
  3. Step 3: Cross multiply
    460,427,400.80x = 689,403,508.80 × 350,730,006.80
  4. Step 4: Simplify right side
    460,427,400.80x = 241,794,497,329,367,840
  5. Step 5: Solve for x
    x = 241,794,497,329,367,840/460,427,400.80
  6. Step 6: Final answer
    x = 525,152,275.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.