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Finding the Fourth Proportional to 137,012,601.13, 205,518,901.70 and 137,012,601.13

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Solution

The fourth proportional to 137,012,601.13, 205,518,901.70 and 137,012,601.13 is: 205,518,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,012,601.13 : 205,518,901.70 = 137,012,601.13 : x
  2. Step 2: Convert to fraction form
    137,012,601.13/205,518,901.70 = 137,012,601.13/x
  3. Step 3: Cross multiply
    137,012,601.13x = 205,518,901.70 × 137,012,601.13
  4. Step 4: Simplify right side
    137,012,601.13x = 28,158,679,303,297,776
  5. Step 5: Solve for x
    x = 28,158,679,303,297,776/137,012,601.13
  6. Step 6: Final answer
    x = 205,518,901.70

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Why These Related Problems?

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