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Finding the Fourth Proportional to 770,728,755.42, 1,063,606,708.77 and 418,304,746.13

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Solution

The fourth proportional to 770,728,755.42, 1,063,606,708.77 and 418,304,746.13 is: 577,261,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,728,755.42 : 1,063,606,708.77 = 418,304,746.13 : x
  2. Step 2: Convert to fraction form
    770,728,755.42/1,063,606,708.77 = 418,304,746.13/x
  3. Step 3: Cross multiply
    770,728,755.42x = 1,063,606,708.77 × 418,304,746.13
  4. Step 4: Simplify right side
    770,728,755.42x = 444,911,734,287,333,888
  5. Step 5: Solve for x
    x = 444,911,734,287,333,888/770,728,755.42
  6. Step 6: Final answer
    x = 577,261,106.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.