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Finding the Fourth Proportional to 284,144,179, 392,118,967.34 and 153,763,987

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Solution

The fourth proportional to 284,144,179, 392,118,967.34 and 153,763,987 is: 212,194,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,144,179 : 392,118,967.34 = 153,763,987 : x
  2. Step 2: Convert to fraction form
    284,144,179/392,118,967.34 = 153,763,987/x
  3. Step 3: Cross multiply
    284,144,179x = 392,118,967.34 × 153,763,987
  4. Step 4: Simplify right side
    284,144,179x = 60,293,775,796,521,184
  5. Step 5: Solve for x
    x = 60,293,775,796,521,184/284,144,179
  6. Step 6: Final answer
    x = 212,194,302.23

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Why These Related Problems?

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