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Finding the Fourth Proportional to 9,098,971,569.15, 13,648,457,353.73 and 9,098,971,569.15

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Solution

The fourth proportional to 9,098,971,569.15, 13,648,457,353.73 and 9,098,971,569.15 is: 13,648,457,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098,971,569.15 : 13,648,457,353.73 = 9,098,971,569.15 : x
  2. Step 2: Convert to fraction form
    9,098,971,569.15/13,648,457,353.73 = 9,098,971,569.15/x
  3. Step 3: Cross multiply
    9,098,971,569.15x = 13,648,457,353.73 × 9,098,971,569.15
  4. Step 4: Simplify right side
    9,098,971,569.15x = 124,186,925,424,300,015,616
  5. Step 5: Solve for x
    x = 124,186,925,424,300,015,616/9,098,971,569.15
  6. Step 6: Final answer
    x = 13,648,457,353.73

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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.