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Finding the Fourth Proportional to 746,627,400.60, 1,042,859,713.80 and 746,627,400.60

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Solution

The fourth proportional to 746,627,400.60, 1,042,859,713.80 and 746,627,400.60 is: 1,042,859,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,627,400.60 : 1,042,859,713.80 = 746,627,400.60 : x
  2. Step 2: Convert to fraction form
    746,627,400.60/1,042,859,713.80 = 746,627,400.60/x
  3. Step 3: Cross multiply
    746,627,400.60x = 1,042,859,713.80 × 746,627,400.60
  4. Step 4: Simplify right side
    746,627,400.60x = 778,627,637,304,953,984
  5. Step 5: Solve for x
    x = 778,627,637,304,953,984/746,627,400.60
  6. Step 6: Final answer
    x = 1,042,859,713.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.