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Finding the Fourth Proportional to 659,603,659.42, 910,606,442.82 and 508,566,437.56

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Solution

The fourth proportional to 659,603,659.42, 910,606,442.82 and 508,566,437.56 is: 702,094,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,603,659.42 : 910,606,442.82 = 508,566,437.56 : x
  2. Step 2: Convert to fraction form
    659,603,659.42/910,606,442.82 = 508,566,437.56/x
  3. Step 3: Cross multiply
    659,603,659.42x = 910,606,442.82 × 508,566,437.56
  4. Step 4: Simplify right side
    659,603,659.42x = 463,103,874,644,151,296
  5. Step 5: Solve for x
    x = 463,103,874,644,151,296/659,603,659.42
  6. Step 6: Final answer
    x = 702,094,156.14

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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.