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Finding the Fourth Proportional to 90,254,595,943.80, 135,381,893,915.70 and 90,254,595,943.80

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Solution

The fourth proportional to 90,254,595,943.80, 135,381,893,915.70 and 90,254,595,943.80 is: 135,381,893,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,254,595,943.80 : 135,381,893,915.70 = 90,254,595,943.80 : x
  2. Step 2: Convert to fraction form
    90,254,595,943.80/135,381,893,915.70 = 90,254,595,943.80/x
  3. Step 3: Cross multiply
    90,254,595,943.80x = 135,381,893,915.70 × 90,254,595,943.80
  4. Step 4: Simplify right side
    90,254,595,943.80x = 12,218,838,133,467,898,707,968
  5. Step 5: Solve for x
    x = 12,218,838,133,467,898,707,968/90,254,595,943.80
  6. Step 6: Final answer
    x = 135,381,893,915.70

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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.