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Finding the Fourth Proportional to 652,773,398.85, 900,818,840.45 and 355,412,230.31

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Solution

The fourth proportional to 652,773,398.85, 900,818,840.45 and 355,412,230.31 is: 490,464,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,773,398.85 : 900,818,840.45 = 355,412,230.31 : x
  2. Step 2: Convert to fraction form
    652,773,398.85/900,818,840.45 = 355,412,230.31/x
  3. Step 3: Cross multiply
    652,773,398.85x = 900,818,840.45 × 355,412,230.31
  4. Step 4: Simplify right side
    652,773,398.85x = 320,162,033,192,743,104
  5. Step 5: Solve for x
    x = 320,162,033,192,743,104/652,773,398.85
  6. Step 6: Final answer
    x = 490,464,277.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.