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Finding the Fourth Proportional to 266,771,281.78, 368,144,368.80 and 144,677,713.78

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Solution

The fourth proportional to 266,771,281.78, 368,144,368.80 and 144,677,713.78 is: 199,655,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,771,281.78 : 368,144,368.80 = 144,677,713.78 : x
  2. Step 2: Convert to fraction form
    266,771,281.78/368,144,368.80 = 144,677,713.78/x
  3. Step 3: Cross multiply
    266,771,281.78x = 368,144,368.80 × 144,677,713.78
  4. Step 4: Simplify right side
    266,771,281.78x = 53,262,285,618,965,168
  5. Step 5: Solve for x
    x = 53,262,285,618,965,168/266,771,281.78
  6. Step 6: Final answer
    x = 199,655,244.99

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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.