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Finding the Fourth Proportional to 558,840,348,005.80, 838,260,522,008.80 and 558,840,348,005.80

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Solution

The fourth proportional to 558,840,348,005.80, 838,260,522,008.80 and 558,840,348,005.80 is: 838,260,522,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,840,348,005.80 : 838,260,522,008.80 = 558,840,348,005.80 : x
  2. Step 2: Convert to fraction form
    558,840,348,005.80/838,260,522,008.80 = 558,840,348,005.80/x
  3. Step 3: Cross multiply
    558,840,348,005.80x = 838,260,522,008.80 × 558,840,348,005.80
  4. Step 4: Simplify right side
    558,840,348,005.80x = 468,453,801,838,921,440,559,104
  5. Step 5: Solve for x
    x = 468,453,801,838,921,440,559,104/558,840,348,005.80
  6. Step 6: Final answer
    x = 838,260,522,008.80

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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.