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Finding the Fourth Proportional to 744,902,875.20, 1,117,354,312.80 and 744,902,875.20

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Solution

The fourth proportional to 744,902,875.20, 1,117,354,312.80 and 744,902,875.20 is: 1,117,354,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,902,875.20 : 1,117,354,312.80 = 744,902,875.20 : x
  2. Step 2: Convert to fraction form
    744,902,875.20/1,117,354,312.80 = 744,902,875.20/x
  3. Step 3: Cross multiply
    744,902,875.20x = 1,117,354,312.80 × 744,902,875.20
  4. Step 4: Simplify right side
    744,902,875.20x = 832,320,440,221,840,128
  5. Step 5: Solve for x
    x = 832,320,440,221,840,128/744,902,875.20
  6. Step 6: Final answer
    x = 1,117,354,312.80

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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.