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Finding the Fourth Proportional to 130,381,922,793.15, 195,572,884,189.72 and 130,381,922,793.15

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Solution

The fourth proportional to 130,381,922,793.15, 195,572,884,189.72 and 130,381,922,793.15 is: 195,572,884,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,381,922,793.15 : 195,572,884,189.72 = 130,381,922,793.15 : x
  2. Step 2: Convert to fraction form
    130,381,922,793.15/195,572,884,189.72 = 130,381,922,793.15/x
  3. Step 3: Cross multiply
    130,381,922,793.15x = 195,572,884,189.72 × 130,381,922,793.15
  4. Step 4: Simplify right side
    130,381,922,793.15x = 25,499,168,686,857,737,207,808
  5. Step 5: Solve for x
    x = 25,499,168,686,857,737,207,808/130,381,922,793.15
  6. Step 6: Final answer
    x = 195,572,884,189.72

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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.