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Finding the Fourth Proportional to 156,944,979,007.30, 235,417,468,510.95 and 156,944,979,007.30

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Solution

The fourth proportional to 156,944,979,007.30, 235,417,468,510.95 and 156,944,979,007.30 is: 235,417,468,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944,979,007.30 : 235,417,468,510.95 = 156,944,979,007.30 : x
  2. Step 2: Convert to fraction form
    156,944,979,007.30/235,417,468,510.95 = 156,944,979,007.30/x
  3. Step 3: Cross multiply
    156,944,979,007.30x = 235,417,468,510.95 × 156,944,979,007.30
  4. Step 4: Simplify right side
    156,944,979,007.30x = 36,947,589,653,402,755,268,608
  5. Step 5: Solve for x
    x = 36,947,589,653,402,755,268,608/156,944,979,007.30
  6. Step 6: Final answer
    x = 235,417,468,510.95

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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.