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Finding the Fourth Proportional to 347,681,662,425.40, 521,522,493,638.10 and 347,681,662,425.40

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Solution

The fourth proportional to 347,681,662,425.40, 521,522,493,638.10 and 347,681,662,425.40 is: 521,522,493,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,681,662,425.40 : 521,522,493,638.10 = 347,681,662,425.40 : x
  2. Step 2: Convert to fraction form
    347,681,662,425.40/521,522,493,638.10 = 347,681,662,425.40/x
  3. Step 3: Cross multiply
    347,681,662,425.40x = 521,522,493,638.10 × 347,681,662,425.40
  4. Step 4: Simplify right side
    347,681,662,425.40x = 181,323,807,580,334,705,344,512
  5. Step 5: Solve for x
    x = 181,323,807,580,334,705,344,512/347,681,662,425.40
  6. Step 6: Final answer
    x = 521,522,493,638.10

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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.