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Finding the Fourth Proportional to 39,144,417,160.40, 58,716,625,740.60 and 39,144,417,160.40

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Solution

The fourth proportional to 39,144,417,160.40, 58,716,625,740.60 and 39,144,417,160.40 is: 58,716,625,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,144,417,160.40 : 58,716,625,740.60 = 39,144,417,160.40 : x
  2. Step 2: Convert to fraction form
    39,144,417,160.40/58,716,625,740.60 = 39,144,417,160.40/x
  3. Step 3: Cross multiply
    39,144,417,160.40x = 58,716,625,740.60 × 39,144,417,160.40
  4. Step 4: Simplify right side
    39,144,417,160.40x = 2,298,428,092,241,127,145,472
  5. Step 5: Solve for x
    x = 2,298,428,092,241,127,145,472/39,144,417,160.40
  6. Step 6: Final answer
    x = 58,716,625,740.60

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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.