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Finding the Fourth Proportional to 200,596,931.80, 300,895,397.70 and 85,805,675.80

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Solution

The fourth proportional to 200,596,931.80, 300,895,397.70 and 85,805,675.80 is: 128,708,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596,931.80 : 300,895,397.70 = 85,805,675.80 : x
  2. Step 2: Convert to fraction form
    200,596,931.80/300,895,397.70 = 85,805,675.80/x
  3. Step 3: Cross multiply
    200,596,931.80x = 300,895,397.70 × 85,805,675.80
  4. Step 4: Simplify right side
    200,596,931.80x = 25,818,532,944,758,264
  5. Step 5: Solve for x
    x = 25,818,532,944,758,264/200,596,931.80
  6. Step 6: Final answer
    x = 128,708,513.70

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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.