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Finding the Fourth Proportional to 742,574,857.80, 1,113,862,286.70 and 742,574,857.80

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Solution

The fourth proportional to 742,574,857.80, 1,113,862,286.70 and 742,574,857.80 is: 1,113,862,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,574,857.80 : 1,113,862,286.70 = 742,574,857.80 : x
  2. Step 2: Convert to fraction form
    742,574,857.80/1,113,862,286.70 = 742,574,857.80/x
  3. Step 3: Cross multiply
    742,574,857.80x = 1,113,862,286.70 × 742,574,857.80
  4. Step 4: Simplify right side
    742,574,857.80x = 827,126,129,155,035,264
  5. Step 5: Solve for x
    x = 827,126,129,155,035,264/742,574,857.80
  6. Step 6: Final answer
    x = 1,113,862,286.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.