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Finding the Fourth Proportional to 565,522,382.60, 848,283,573.90 and 156,578,533.10

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Solution

The fourth proportional to 565,522,382.60, 848,283,573.90 and 156,578,533.10 is: 234,867,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,522,382.60 : 848,283,573.90 = 156,578,533.10 : x
  2. Step 2: Convert to fraction form
    565,522,382.60/848,283,573.90 = 156,578,533.10/x
  3. Step 3: Cross multiply
    565,522,382.60x = 848,283,573.90 × 156,578,533.10
  4. Step 4: Simplify right side
    565,522,382.60x = 132,822,997,654,087,440
  5. Step 5: Solve for x
    x = 132,822,997,654,087,440/565,522,382.60
  6. Step 6: Final answer
    x = 234,867,799.65

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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.