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Finding the Fourth Proportional to 96,862,008,002.90, 145,293,012,004.35 and 96,862,008,002.90

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Solution

The fourth proportional to 96,862,008,002.90, 145,293,012,004.35 and 96,862,008,002.90 is: 145,293,012,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,862,008,002.90 : 145,293,012,004.35 = 96,862,008,002.90 : x
  2. Step 2: Convert to fraction form
    96,862,008,002.90/145,293,012,004.35 = 96,862,008,002.90/x
  3. Step 3: Cross multiply
    96,862,008,002.90x = 145,293,012,004.35 × 96,862,008,002.90
  4. Step 4: Simplify right side
    96,862,008,002.90x = 14,073,372,891,530,796,204,032
  5. Step 5: Solve for x
    x = 14,073,372,891,530,796,204,032/96,862,008,002.90
  6. Step 6: Final answer
    x = 145,293,012,004.35

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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.