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Finding the Fourth Proportional to 9,657,820,269.60, 14,486,730,404.40 and 9,290,488,250.40

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Solution

The fourth proportional to 9,657,820,269.60, 14,486,730,404.40 and 9,290,488,250.40 is: 13,935,732,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,820,269.60 : 14,486,730,404.40 = 9,290,488,250.40 : x
  2. Step 2: Convert to fraction form
    9,657,820,269.60/14,486,730,404.40 = 9,290,488,250.40/x
  3. Step 3: Cross multiply
    9,657,820,269.60x = 14,486,730,404.40 × 9,290,488,250.40
  4. Step 4: Simplify right side
    9,657,820,269.60x = 134,588,798,608,790,634,496
  5. Step 5: Solve for x
    x = 134,588,798,608,790,634,496/9,657,820,269.60
  6. Step 6: Final answer
    x = 13,935,732,375.60

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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.