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Finding the Fourth Proportional to 534,843,006.90, 802,264,510.35 and 534,843,006.90

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Solution

The fourth proportional to 534,843,006.90, 802,264,510.35 and 534,843,006.90 is: 802,264,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,843,006.90 : 802,264,510.35 = 534,843,006.90 : x
  2. Step 2: Convert to fraction form
    534,843,006.90/802,264,510.35 = 534,843,006.90/x
  3. Step 3: Cross multiply
    534,843,006.90x = 802,264,510.35 × 534,843,006.90
  4. Step 4: Simplify right side
    534,843,006.90x = 429,085,563,044,750,144
  5. Step 5: Solve for x
    x = 429,085,563,044,750,144/534,843,006.90
  6. Step 6: Final answer
    x = 802,264,510.35

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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.