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Finding the Fourth Proportional to 284,144,216, 392,119,018.20 and 153,764,024

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Solution

The fourth proportional to 284,144,216, 392,119,018.20 and 153,764,024 is: 212,194,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,144,216 : 392,119,018.20 = 153,764,024 : x
  2. Step 2: Convert to fraction form
    284,144,216/392,119,018.20 = 153,764,024/x
  3. Step 3: Cross multiply
    284,144,216x = 392,119,018.20 × 153,764,024
  4. Step 4: Simplify right side
    284,144,216x = 60,293,798,125,361,232
  5. Step 5: Solve for x
    x = 60,293,798,125,361,232/284,144,216
  6. Step 6: Final answer
    x = 212,194,353.18

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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.