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Finding the Fourth Proportional to 561,798,439.84, 775,282,985.04 and 314,283,927.52

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Solution

The fourth proportional to 561,798,439.84, 775,282,985.04 and 314,283,927.52 is: 433,712,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,798,439.84 : 775,282,985.04 = 314,283,927.52 : x
  2. Step 2: Convert to fraction form
    561,798,439.84/775,282,985.04 = 314,283,927.52/x
  3. Step 3: Cross multiply
    561,798,439.84x = 775,282,985.04 × 314,283,927.52
  4. Step 4: Simplify right side
    561,798,439.84x = 243,658,981,477,800,576
  5. Step 5: Solve for x
    x = 243,658,981,477,800,576/561,798,439.84
  6. Step 6: Final answer
    x = 433,712,456.64

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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.