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Finding the Fourth Proportional to 806,442,156,950.10, 1,209,663,235,425.10 and 806,442,156,950.10

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Solution

The fourth proportional to 806,442,156,950.10, 1,209,663,235,425.10 and 806,442,156,950.10 is: 1,209,663,235,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,442,156,950.10 : 1,209,663,235,425.10 = 806,442,156,950.10 : x
  2. Step 2: Convert to fraction form
    806,442,156,950.10/1,209,663,235,425.10 = 806,442,156,950.10/x
  3. Step 3: Cross multiply
    806,442,156,950.10x = 1,209,663,235,425.10 × 806,442,156,950.10
  4. Step 4: Simplify right side
    806,442,156,950.10x = 975,523,428,759,454,361,845,760
  5. Step 5: Solve for x
    x = 975,523,428,759,454,361,845,760/806,442,156,950.10
  6. Step 6: Final answer
    x = 1,209,663,235,425.10

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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.