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Finding the Fourth Proportional to 558,840,348,000.15, 838,260,522,000.23 and 558,840,348,000.15

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Solution

The fourth proportional to 558,840,348,000.15, 838,260,522,000.23 and 558,840,348,000.15 is: 838,260,522,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,840,348,000.15 : 838,260,522,000.23 = 558,840,348,000.15 : x
  2. Step 2: Convert to fraction form
    558,840,348,000.15/838,260,522,000.23 = 558,840,348,000.15/x
  3. Step 3: Cross multiply
    558,840,348,000.15x = 838,260,522,000.23 × 558,840,348,000.15
  4. Step 4: Simplify right side
    558,840,348,000.15x = 468,453,801,829,395,941,294,080
  5. Step 5: Solve for x
    x = 468,453,801,829,395,941,294,080/558,840,348,000.15
  6. Step 6: Final answer
    x = 838,260,522,000.23

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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.