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Finding the Fourth Proportional to 81,427,326,439.40, 121,968,996,980.70 and 81,427,326,439.40

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Solution

The fourth proportional to 81,427,326,439.40, 121,968,996,980.70 and 81,427,326,439.40 is: 121,968,996,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,427,326,439.40 : 121,968,996,980.70 = 81,427,326,439.40 : x
  2. Step 2: Convert to fraction form
    81,427,326,439.40/121,968,996,980.70 = 81,427,326,439.40/x
  3. Step 3: Cross multiply
    81,427,326,439.40x = 121,968,996,980.70 × 81,427,326,439.40
  4. Step 4: Simplify right side
    81,427,326,439.40x = 9,931,609,332,633,651,118,080
  5. Step 5: Solve for x
    x = 9,931,609,332,633,651,118,080/81,427,326,439.40
  6. Step 6: Final answer
    x = 121,968,996,980.70

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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.