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Finding the Fourth Proportional to 155,141,649,057.15, 232,712,473,585.72 and 155,141,649,057.15

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Solution

The fourth proportional to 155,141,649,057.15, 232,712,473,585.72 and 155,141,649,057.15 is: 232,712,473,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,141,649,057.15 : 232,712,473,585.72 = 155,141,649,057.15 : x
  2. Step 2: Convert to fraction form
    155,141,649,057.15/232,712,473,585.72 = 155,141,649,057.15/x
  3. Step 3: Cross multiply
    155,141,649,057.15x = 232,712,473,585.72 × 155,141,649,057.15
  4. Step 4: Simplify right side
    155,141,649,057.15x = 36,103,396,908,257,060,585,472
  5. Step 5: Solve for x
    x = 36,103,396,908,257,060,585,472/155,141,649,057.15
  6. Step 6: Final answer
    x = 232,712,473,585.72

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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.