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Finding the Fourth Proportional to 497,883,946.90, 746,825,920.35 and 497,883,946.90

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Solution

The fourth proportional to 497,883,946.90, 746,825,920.35 and 497,883,946.90 is: 746,825,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,883,946.90 : 746,825,920.35 = 497,883,946.90 : x
  2. Step 2: Convert to fraction form
    497,883,946.90/746,825,920.35 = 497,883,946.90/x
  3. Step 3: Cross multiply
    497,883,946.90x = 746,825,920.35 × 497,883,946.90
  4. Step 4: Simplify right side
    497,883,946.90x = 371,832,636,871,083,008
  5. Step 5: Solve for x
    x = 371,832,636,871,083,008/497,883,946.90
  6. Step 6: Final answer
    x = 746,825,920.35

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Why These Related Problems?

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