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Finding the Fourth Proportional to 59,638,096,967.60, 89,457,145,451.40 and 59,638,096,967.60

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Solution

The fourth proportional to 59,638,096,967.60, 89,457,145,451.40 and 59,638,096,967.60 is: 89,457,145,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638,096,967.60 : 89,457,145,451.40 = 59,638,096,967.60 : x
  2. Step 2: Convert to fraction form
    59,638,096,967.60/89,457,145,451.40 = 59,638,096,967.60/x
  3. Step 3: Cross multiply
    59,638,096,967.60x = 89,457,145,451.40 × 59,638,096,967.60
  4. Step 4: Simplify right side
    59,638,096,967.60x = 5,335,053,914,875,289,927,680
  5. Step 5: Solve for x
    x = 5,335,053,914,875,289,927,680/59,638,096,967.60
  6. Step 6: Final answer
    x = 89,457,145,451.40

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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.