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Finding the Fourth Proportional to 785,709,728.13, 1,177,594,114.10 and 674,262,019.69

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Solution

The fourth proportional to 785,709,728.13, 1,177,594,114.10 and 674,262,019.69 is: 1,010,560,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,709,728.13 : 1,177,594,114.10 = 674,262,019.69 : x
  2. Step 2: Convert to fraction form
    785,709,728.13/1,177,594,114.10 = 674,262,019.69/x
  3. Step 3: Cross multiply
    785,709,728.13x = 1,177,594,114.10 × 674,262,019.69
  4. Step 4: Simplify right side
    785,709,728.13x = 794,006,985,744,155,520
  5. Step 5: Solve for x
    x = 794,006,985,744,155,520/785,709,728.13
  6. Step 6: Final answer
    x = 1,010,560,207.31

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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.