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Finding the Fourth Proportional to 185,639,728,525.80, 278,459,592,788.70 and 185,639,728,525.80

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Solution

The fourth proportional to 185,639,728,525.80, 278,459,592,788.70 and 185,639,728,525.80 is: 278,459,592,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,639,728,525.80 : 278,459,592,788.70 = 185,639,728,525.80 : x
  2. Step 2: Convert to fraction form
    185,639,728,525.80/278,459,592,788.70 = 185,639,728,525.80/x
  3. Step 3: Cross multiply
    185,639,728,525.80x = 278,459,592,788.70 × 185,639,728,525.80
  4. Step 4: Simplify right side
    185,639,728,525.80x = 51,693,163,210,699,083,612,160
  5. Step 5: Solve for x
    x = 51,693,163,210,699,083,612,160/185,639,728,525.80
  6. Step 6: Final answer
    x = 278,459,592,788.70

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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.