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Finding the Fourth Proportional to 964,908,965.03, 1,443,711,037.23 and 571,646,922.48

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Solution

The fourth proportional to 964,908,965.03, 1,443,711,037.23 and 571,646,922.48 is: 855,306,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,908,965.03 : 1,443,711,037.23 = 571,646,922.48 : x
  2. Step 2: Convert to fraction form
    964,908,965.03/1,443,711,037.23 = 571,646,922.48/x
  3. Step 3: Cross multiply
    964,908,965.03x = 1,443,711,037.23 × 571,646,922.48
  4. Step 4: Simplify right side
    964,908,965.03x = 825,292,971,382,938,240
  5. Step 5: Solve for x
    x = 825,292,971,382,938,240/964,908,965.03
  6. Step 6: Final answer
    x = 855,306,563.93

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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.