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Finding the Fourth Proportional to 411,010,722.40, 566,646,100.86 and 326,518,188.70

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Solution

The fourth proportional to 411,010,722.40, 566,646,100.86 and 326,518,188.70 is: 450,159,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,010,722.40 : 566,646,100.86 = 326,518,188.70 : x
  2. Step 2: Convert to fraction form
    411,010,722.40/566,646,100.86 = 326,518,188.70/x
  3. Step 3: Cross multiply
    411,010,722.40x = 566,646,100.86 × 326,518,188.70
  4. Step 4: Simplify right side
    411,010,722.40x = 185,020,258,486,724,704
  5. Step 5: Solve for x
    x = 185,020,258,486,724,704/411,010,722.40
  6. Step 6: Final answer
    x = 450,159,201.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.