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Finding the Fourth Proportional to 552,071,978.40, 827,404,628.40 and 293,411,114.40

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Solution

The fourth proportional to 552,071,978.40, 827,404,628.40 and 293,411,114.40 is: 439,742,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,071,978.40 : 827,404,628.40 = 293,411,114.40 : x
  2. Step 2: Convert to fraction form
    552,071,978.40/827,404,628.40 = 293,411,114.40/x
  3. Step 3: Cross multiply
    552,071,978.40x = 827,404,628.40 × 293,411,114.40
  4. Step 4: Simplify right side
    552,071,978.40x = 242,769,714,078,561,856
  5. Step 5: Solve for x
    x = 242,769,714,078,561,856/552,071,978.40
  6. Step 6: Final answer
    x = 439,742,866.11

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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.