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Finding the Fourth Proportional to 595,744,007.70, 893,616,011.55 and 412,077,998.10

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Solution

The fourth proportional to 595,744,007.70, 893,616,011.55 and 412,077,998.10 is: 618,116,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,744,007.70 : 893,616,011.55 = 412,077,998.10 : x
  2. Step 2: Convert to fraction form
    595,744,007.70/893,616,011.55 = 412,077,998.10/x
  3. Step 3: Cross multiply
    595,744,007.70x = 893,616,011.55 × 412,077,998.10
  4. Step 4: Simplify right side
    595,744,007.70x = 368,239,497,109,630,464
  5. Step 5: Solve for x
    x = 368,239,497,109,630,464/595,744,007.70
  6. Step 6: Final answer
    x = 618,116,997.15

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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.