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Finding the Fourth Proportional to 11,402,209,817.10, 15,984,861,567.30 and 11,402,209,817.10

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Solution

The fourth proportional to 11,402,209,817.10, 15,984,861,567.30 and 11,402,209,817.10 is: 15,984,861,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402,209,817.10 : 15,984,861,567.30 = 11,402,209,817.10 : x
  2. Step 2: Convert to fraction form
    11,402,209,817.10/15,984,861,567.30 = 11,402,209,817.10/x
  3. Step 3: Cross multiply
    11,402,209,817.10x = 15,984,861,567.30 × 11,402,209,817.10
  4. Step 4: Simplify right side
    11,402,209,817.10x = 182,262,745,487,652,552,704
  5. Step 5: Solve for x
    x = 182,262,745,487,652,552,704/11,402,209,817.10
  6. Step 6: Final answer
    x = 15,984,861,567.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.