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Finding the Fourth Proportional to 459,651,602.60, 689,477,403.90 and 459,651,602.60

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Solution

The fourth proportional to 459,651,602.60, 689,477,403.90 and 459,651,602.60 is: 689,477,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,651,602.60 : 689,477,403.90 = 459,651,602.60 : x
  2. Step 2: Convert to fraction form
    459,651,602.60/689,477,403.90 = 459,651,602.60/x
  3. Step 3: Cross multiply
    459,651,602.60x = 689,477,403.90 × 459,651,602.60
  4. Step 4: Simplify right side
    459,651,602.60x = 316,919,393,659,122,496
  5. Step 5: Solve for x
    x = 316,919,393,659,122,496/459,651,602.60
  6. Step 6: Final answer
    x = 689,477,403.90

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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.