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Finding the Fourth Proportional to 200,813,674.80, 301,262,502.60 and 64,512,836.40

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Solution

The fourth proportional to 200,813,674.80, 301,262,502.60 and 64,512,836.40 is: 96,782,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,813,674.80 : 301,262,502.60 = 64,512,836.40 : x
  2. Step 2: Convert to fraction form
    200,813,674.80/301,262,502.60 = 64,512,836.40/x
  3. Step 3: Cross multiply
    200,813,674.80x = 301,262,502.60 × 64,512,836.40
  4. Step 4: Simplify right side
    200,813,674.80x = 19,435,298,543,688,376
  5. Step 5: Solve for x
    x = 19,435,298,543,688,376/200,813,674.80
  6. Step 6: Final answer
    x = 96,782,744.32

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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.