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Finding the Fourth Proportional to 1,700,750,947.14, 2,347,036,287.54 and 918,469,795.14

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Solution

The fourth proportional to 1,700,750,947.14, 2,347,036,287.54 and 918,469,795.14 is: 1,267,488,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,750,947.14 : 2,347,036,287.54 = 918,469,795.14 : x
  2. Step 2: Convert to fraction form
    1,700,750,947.14/2,347,036,287.54 = 918,469,795.14/x
  3. Step 3: Cross multiply
    1,700,750,947.14x = 2,347,036,287.54 × 918,469,795.14
  4. Step 4: Simplify right side
    1,700,750,947.14x = 2,155,681,938,203,009,792
  5. Step 5: Solve for x
    x = 2,155,681,938,203,009,792/1,700,750,947.14
  6. Step 6: Final answer
    x = 1,267,488,306.76

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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.