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Finding the Fourth Proportional to 459,093,614.40, 688,640,421.60 and 459,093,614.40

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Solution

The fourth proportional to 459,093,614.40, 688,640,421.60 and 459,093,614.40 is: 688,640,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,093,614.40 : 688,640,421.60 = 459,093,614.40 : x
  2. Step 2: Convert to fraction form
    459,093,614.40/688,640,421.60 = 459,093,614.40/x
  3. Step 3: Cross multiply
    459,093,614.40x = 688,640,421.60 × 459,093,614.40
  4. Step 4: Simplify right side
    459,093,614.40x = 316,150,420,174,283,840
  5. Step 5: Solve for x
    x = 316,150,420,174,283,840/459,093,614.40
  6. Step 6: Final answer
    x = 688,640,421.60

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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.