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Finding the Fourth Proportional to 386,294,712.30, 579,442,068.45 and 295,595,448.30

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Solution

The fourth proportional to 386,294,712.30, 579,442,068.45 and 295,595,448.30 is: 443,393,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,294,712.30 : 579,442,068.45 = 295,595,448.30 : x
  2. Step 2: Convert to fraction form
    386,294,712.30/579,442,068.45 = 295,595,448.30/x
  3. Step 3: Cross multiply
    386,294,712.30x = 579,442,068.45 × 295,595,448.30
  4. Step 4: Simplify right side
    386,294,712.30x = 171,280,437,987,357,056
  5. Step 5: Solve for x
    x = 171,280,437,987,357,056/386,294,712.30
  6. Step 6: Final answer
    x = 443,393,172.45

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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.