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Finding the Fourth Proportional to 105,772,500.20, 158,658,750.30 and 105,772,500.20

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Solution

The fourth proportional to 105,772,500.20, 158,658,750.30 and 105,772,500.20 is: 158,658,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,772,500.20 : 158,658,750.30 = 105,772,500.20 : x
  2. Step 2: Convert to fraction form
    105,772,500.20/158,658,750.30 = 105,772,500.20/x
  3. Step 3: Cross multiply
    105,772,500.20x = 158,658,750.30 × 105,772,500.20
  4. Step 4: Simplify right side
    105,772,500.20x = 16,781,732,697,838,502
  5. Step 5: Solve for x
    x = 16,781,732,697,838,502/105,772,500.20
  6. Step 6: Final answer
    x = 158,658,750.30

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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.