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Finding the Fourth Proportional to 575,761,899,203, 794,576,397,036.54 and 318,844,796,437.38

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Solution

The fourth proportional to 575,761,899,203, 794,576,397,036.54 and 318,844,796,437.38 is: 440,019,650,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,761,899,203 : 794,576,397,036.54 = 318,844,796,437.38 : x
  2. Step 2: Convert to fraction form
    575,761,899,203/794,576,397,036.54 = 318,844,796,437.38/x
  3. Step 3: Cross multiply
    575,761,899,203x = 794,576,397,036.54 × 318,844,796,437.38
  4. Step 4: Simplify right side
    575,761,899,203x = 253,346,549,567,062,435,430,400
  5. Step 5: Solve for x
    x = 253,346,549,567,062,435,430,400/575,761,899,203
  6. Step 6: Final answer
    x = 440,019,650,341.15

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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.