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Finding the Fourth Proportional to 744,897,165.20, 1,117,345,747.80 and 744,897,165.20

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Solution

The fourth proportional to 744,897,165.20, 1,117,345,747.80 and 744,897,165.20 is: 1,117,345,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,897,165.20 : 1,117,345,747.80 = 744,897,165.20 : x
  2. Step 2: Convert to fraction form
    744,897,165.20/1,117,345,747.80 = 744,897,165.20/x
  3. Step 3: Cross multiply
    744,897,165.20x = 1,117,345,747.80 × 744,897,165.20
  4. Step 4: Simplify right side
    744,897,165.20x = 832,307,680,084,494,208
  5. Step 5: Solve for x
    x = 832,307,680,084,494,208/744,897,165.20
  6. Step 6: Final answer
    x = 1,117,345,747.80

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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.