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Finding the Fourth Proportional to 375,338,073.84, 563,100,887.16 and 264,889,398.48

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Solution

The fourth proportional to 375,338,073.84, 563,100,887.16 and 264,889,398.48 is: 397,400,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,338,073.84 : 563,100,887.16 = 264,889,398.48 : x
  2. Step 2: Convert to fraction form
    375,338,073.84/563,100,887.16 = 264,889,398.48/x
  3. Step 3: Cross multiply
    375,338,073.84x = 563,100,887.16 × 264,889,398.48
  4. Step 4: Simplify right side
    375,338,073.84x = 149,159,455,283,366,752
  5. Step 5: Solve for x
    x = 149,159,455,283,366,752/375,338,073.84
  6. Step 6: Final answer
    x = 397,400,279.05

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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.