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Finding the Fourth Proportional to 964,943,844.98, 1,448,027,966.16 and 412,250,437.34

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Solution

The fourth proportional to 964,943,844.98, 1,448,027,966.16 and 412,250,437.34 is: 618,637,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,943,844.98 : 1,448,027,966.16 = 412,250,437.34 : x
  2. Step 2: Convert to fraction form
    964,943,844.98/1,448,027,966.16 = 412,250,437.34/x
  3. Step 3: Cross multiply
    964,943,844.98x = 1,448,027,966.16 × 412,250,437.34
  4. Step 4: Simplify right side
    964,943,844.98x = 596,950,162,330,010,752
  5. Step 5: Solve for x
    x = 596,950,162,330,010,752/964,943,844.98
  6. Step 6: Final answer
    x = 618,637,204.06

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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.