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Finding the Fourth Proportional to 306,849,797.80, 460,271,547.36 and 177,375,023.80

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Solution

The fourth proportional to 306,849,797.80, 460,271,547.36 and 177,375,023.80 is: 266,060,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,849,797.80 : 460,271,547.36 = 177,375,023.80 : x
  2. Step 2: Convert to fraction form
    306,849,797.80/460,271,547.36 = 177,375,023.80/x
  3. Step 3: Cross multiply
    306,849,797.80x = 460,271,547.36 × 177,375,023.80
  4. Step 4: Simplify right side
    306,849,797.80x = 81,640,676,667,442,832
  5. Step 5: Solve for x
    x = 81,640,676,667,442,832/306,849,797.80
  6. Step 6: Final answer
    x = 266,060,715.22

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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.