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Finding the Fourth Proportional to 533,808,064.80, 800,712,097.20 and 318,817,216.80

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Solution

The fourth proportional to 533,808,064.80, 800,712,097.20 and 318,817,216.80 is: 478,225,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,808,064.80 : 800,712,097.20 = 318,817,216.80 : x
  2. Step 2: Convert to fraction form
    533,808,064.80/800,712,097.20 = 318,817,216.80/x
  3. Step 3: Cross multiply
    533,808,064.80x = 800,712,097.20 × 318,817,216.80
  4. Step 4: Simplify right side
    533,808,064.80x = 255,280,802,287,395,104
  5. Step 5: Solve for x
    x = 255,280,802,287,395,104/533,808,064.80
  6. Step 6: Final answer
    x = 478,225,825.20

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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.