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Finding the Fourth Proportional to 15,456,096,447.60, 23,184,144,671.40 and 15,456,096,447.60

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Solution

The fourth proportional to 15,456,096,447.60, 23,184,144,671.40 and 15,456,096,447.60 is: 23,184,144,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456,096,447.60 : 23,184,144,671.40 = 15,456,096,447.60 : x
  2. Step 2: Convert to fraction form
    15,456,096,447.60/23,184,144,671.40 = 15,456,096,447.60/x
  3. Step 3: Cross multiply
    15,456,096,447.60x = 23,184,144,671.40 × 15,456,096,447.60
  4. Step 4: Simplify right side
    15,456,096,447.60x = 358,336,376,096,270,057,472
  5. Step 5: Solve for x
    x = 358,336,376,096,270,057,472/15,456,096,447.60
  6. Step 6: Final answer
    x = 23,184,144,671.40

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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.