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Finding the Fourth Proportional to 158,306,655,998.40, 237,459,983,997.60 and 158,306,655,998.40

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Solution

The fourth proportional to 158,306,655,998.40, 237,459,983,997.60 and 158,306,655,998.40 is: 237,459,983,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306,655,998.40 : 237,459,983,997.60 = 158,306,655,998.40 : x
  2. Step 2: Convert to fraction form
    158,306,655,998.40/237,459,983,997.60 = 158,306,655,998.40/x
  3. Step 3: Cross multiply
    158,306,655,998.40x = 237,459,983,997.60 × 158,306,655,998.40
  4. Step 4: Simplify right side
    158,306,655,998.40x = 37,591,496,000,093,632,331,776
  5. Step 5: Solve for x
    x = 37,591,496,000,093,632,331,776/158,306,655,998.40
  6. Step 6: Final answer
    x = 237,459,983,997.60

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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.