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Finding the Fourth Proportional to 154,381,502,305.20, 231,572,253,457.80 and 154,381,502,305.20

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Solution

The fourth proportional to 154,381,502,305.20, 231,572,253,457.80 and 154,381,502,305.20 is: 231,572,253,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,381,502,305.20 : 231,572,253,457.80 = 154,381,502,305.20 : x
  2. Step 2: Convert to fraction form
    154,381,502,305.20/231,572,253,457.80 = 154,381,502,305.20/x
  3. Step 3: Cross multiply
    154,381,502,305.20x = 231,572,253,457.80 × 154,381,502,305.20
  4. Step 4: Simplify right side
    154,381,502,305.20x = 35,750,472,381,015,712,071,680
  5. Step 5: Solve for x
    x = 35,750,472,381,015,712,071,680/154,381,502,305.20
  6. Step 6: Final answer
    x = 231,572,253,457.80

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1.5x scale

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.