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Finding the Fourth Proportional to 688,636,302.85, 1,032,954,454.28 and 688,636,302.85

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Solution

The fourth proportional to 688,636,302.85, 1,032,954,454.28 and 688,636,302.85 is: 1,032,954,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,636,302.85 : 1,032,954,454.28 = 688,636,302.85 : x
  2. Step 2: Convert to fraction form
    688,636,302.85/1,032,954,454.28 = 688,636,302.85/x
  3. Step 3: Cross multiply
    688,636,302.85x = 1,032,954,454.28 × 688,636,302.85
  4. Step 4: Simplify right side
    688,636,302.85x = 711,329,936,404,375,424
  5. Step 5: Solve for x
    x = 711,329,936,404,375,424/688,636,302.85
  6. Step 6: Final answer
    x = 1,032,954,454.28

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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.