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Finding the Fourth Proportional to 617,223,152.80, 926,896,412.40 and 436,737,008.80

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Solution

The fourth proportional to 617,223,152.80, 926,896,412.40 and 436,737,008.80 is: 655,856,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,223,152.80 : 926,896,412.40 = 436,737,008.80 : x
  2. Step 2: Convert to fraction form
    617,223,152.80/926,896,412.40 = 436,737,008.80/x
  3. Step 3: Cross multiply
    617,223,152.80x = 926,896,412.40 × 436,737,008.80
  4. Step 4: Simplify right side
    617,223,152.80x = 404,809,966,619,027,200
  5. Step 5: Solve for x
    x = 404,809,966,619,027,200/617,223,152.80
  6. Step 6: Final answer
    x = 655,856,742.87

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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.