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Finding the Fourth Proportional to 528,041,608,254.40, 792,062,412,381.60 and 528,041,608,254.40

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Solution

The fourth proportional to 528,041,608,254.40, 792,062,412,381.60 and 528,041,608,254.40 is: 792,062,412,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,041,608,254.40 : 792,062,412,381.60 = 528,041,608,254.40 : x
  2. Step 2: Convert to fraction form
    528,041,608,254.40/792,062,412,381.60 = 528,041,608,254.40/x
  3. Step 3: Cross multiply
    528,041,608,254.40x = 792,062,412,381.60 × 528,041,608,254.40
  4. Step 4: Simplify right side
    528,041,608,254.40x = 418,241,910,071,839,837,650,944
  5. Step 5: Solve for x
    x = 418,241,910,071,839,837,650,944/528,041,608,254.40
  6. Step 6: Final answer
    x = 792,062,412,381.60

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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.