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Finding the Fourth Proportional to 497,802,111.90, 746,065,438.65 and 442,957,400.70

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Solution

The fourth proportional to 497,802,111.90, 746,065,438.65 and 442,957,400.70 is: 663,868,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,802,111.90 : 746,065,438.65 = 442,957,400.70 : x
  2. Step 2: Convert to fraction form
    497,802,111.90/746,065,438.65 = 442,957,400.70/x
  3. Step 3: Cross multiply
    497,802,111.90x = 746,065,438.65 × 442,957,400.70
  4. Step 4: Simplify right side
    497,802,111.90x = 330,475,207,456,509,312
  5. Step 5: Solve for x
    x = 330,475,207,456,509,312/497,802,111.90
  6. Step 6: Final answer
    x = 663,868,632.85

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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.