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Finding the Fourth Proportional to 459,652,044.60, 689,478,066.90 and 459,652,044.60

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Solution

The fourth proportional to 459,652,044.60, 689,478,066.90 and 459,652,044.60 is: 689,478,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,652,044.60 : 689,478,066.90 = 459,652,044.60 : x
  2. Step 2: Convert to fraction form
    459,652,044.60/689,478,066.90 = 459,652,044.60/x
  3. Step 3: Cross multiply
    459,652,044.60x = 689,478,066.90 × 459,652,044.60
  4. Step 4: Simplify right side
    459,652,044.60x = 316,920,003,157,440,576
  5. Step 5: Solve for x
    x = 316,920,003,157,440,576/459,652,044.60
  6. Step 6: Final answer
    x = 689,478,066.90

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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.