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Finding the Fourth Proportional to 601,070,561,298.75, 901,605,841,948.10 and 601,070,561,298.75

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Solution

The fourth proportional to 601,070,561,298.75, 901,605,841,948.10 and 601,070,561,298.75 is: 901,605,841,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,561,298.75 : 901,605,841,948.10 = 601,070,561,298.75 : x
  2. Step 2: Convert to fraction form
    601,070,561,298.75/901,605,841,948.10 = 601,070,561,298.75/x
  3. Step 3: Cross multiply
    601,070,561,298.75x = 901,605,841,948.10 × 601,070,561,298.75
  4. Step 4: Simplify right side
    601,070,561,298.75x = 541,928,729,489,976,514,838,528
  5. Step 5: Solve for x
    x = 541,928,729,489,976,514,838,528/601,070,561,298.75
  6. Step 6: Final answer
    x = 901,605,841,948.10

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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.