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Finding the Fourth Proportional to 565,520,806.40, 848,281,209.60 and 524,706,137.60

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Solution

The fourth proportional to 565,520,806.40, 848,281,209.60 and 524,706,137.60 is: 787,059,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,520,806.40 : 848,281,209.60 = 524,706,137.60 : x
  2. Step 2: Convert to fraction form
    565,520,806.40/848,281,209.60 = 524,706,137.60/x
  3. Step 3: Cross multiply
    565,520,806.40x = 848,281,209.60 × 524,706,137.60
  4. Step 4: Simplify right side
    565,520,806.40x = 445,098,357,087,872,064
  5. Step 5: Solve for x
    x = 445,098,357,087,872,064/565,520,806.40
  6. Step 6: Final answer
    x = 787,059,206.40

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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.