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Finding the Fourth Proportional to 435,506,740,793.55, 653,260,111,190.32 and 435,506,740,793.55

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Solution

The fourth proportional to 435,506,740,793.55, 653,260,111,190.32 and 435,506,740,793.55 is: 653,260,111,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,506,740,793.55 : 653,260,111,190.32 = 435,506,740,793.55 : x
  2. Step 2: Convert to fraction form
    435,506,740,793.55/653,260,111,190.32 = 435,506,740,793.55/x
  3. Step 3: Cross multiply
    435,506,740,793.55x = 653,260,111,190.32 × 435,506,740,793.55
  4. Step 4: Simplify right side
    435,506,740,793.55x = 284,499,181,914,928,298,590,208
  5. Step 5: Solve for x
    x = 284,499,181,914,928,298,590,208/435,506,740,793.55
  6. Step 6: Final answer
    x = 653,260,111,190.32

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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.