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Finding the Fourth Proportional to 343,241,857,497.60, 514,862,786,246.40 and 343,241,857,497.60

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Solution

The fourth proportional to 343,241,857,497.60, 514,862,786,246.40 and 343,241,857,497.60 is: 514,862,786,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,241,857,497.60 : 514,862,786,246.40 = 343,241,857,497.60 : x
  2. Step 2: Convert to fraction form
    343,241,857,497.60/514,862,786,246.40 = 343,241,857,497.60/x
  3. Step 3: Cross multiply
    343,241,857,497.60x = 514,862,786,246.40 × 343,241,857,497.60
  4. Step 4: Simplify right side
    343,241,857,497.60x = 176,722,459,107,604,098,449,408
  5. Step 5: Solve for x
    x = 176,722,459,107,604,098,449,408/343,241,857,497.60
  6. Step 6: Final answer
    x = 514,862,786,246.40

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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.