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Finding the Fourth Proportional to 409,084,878.90, 564,533,393.49 and 223,445,838.90

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Solution

The fourth proportional to 409,084,878.90, 564,533,393.49 and 223,445,838.90 is: 308,353,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,084,878.90 : 564,533,393.49 = 223,445,838.90 : x
  2. Step 2: Convert to fraction form
    409,084,878.90/564,533,393.49 = 223,445,838.90/x
  3. Step 3: Cross multiply
    409,084,878.90x = 564,533,393.49 × 223,445,838.90
  4. Step 4: Simplify right side
    409,084,878.90x = 126,142,637,695,436,848
  5. Step 5: Solve for x
    x = 126,142,637,695,436,848/409,084,878.90
  6. Step 6: Final answer
    x = 308,353,215.19

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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.