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Finding the Fourth Proportional to 524,635,798.95, 787,226,055.03 and 213,971,333.58

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Solution

The fourth proportional to 524,635,798.95, 787,226,055.03 and 213,971,333.58 is: 321,068,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,635,798.95 : 787,226,055.03 = 213,971,333.58 : x
  2. Step 2: Convert to fraction form
    524,635,798.95/787,226,055.03 = 213,971,333.58/x
  3. Step 3: Cross multiply
    524,635,798.95x = 787,226,055.03 × 213,971,333.58
  4. Step 4: Simplify right side
    524,635,798.95x = 168,443,808,823,691,584
  5. Step 5: Solve for x
    x = 168,443,808,823,691,584/524,635,798.95
  6. Step 6: Final answer
    x = 321,068,080.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.