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Finding the Fourth Proportional to 290,440,402.68, 435,789,256.80 and 152,233,164.18

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Solution

The fourth proportional to 290,440,402.68, 435,789,256.80 and 152,233,164.18 is: 228,417,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,440,402.68 : 435,789,256.80 = 152,233,164.18 : x
  2. Step 2: Convert to fraction form
    290,440,402.68/435,789,256.80 = 152,233,164.18/x
  3. Step 3: Cross multiply
    290,440,402.68x = 435,789,256.80 × 152,233,164.18
  4. Step 4: Simplify right side
    290,440,402.68x = 66,341,577,478,314,584
  5. Step 5: Solve for x
    x = 66,341,577,478,314,584/290,440,402.68
  6. Step 6: Final answer
    x = 228,417,179.11

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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.