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Finding the Fourth Proportional to 497,941,293.60, 746,408,055.60 and 293,364,064.80

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Solution

The fourth proportional to 497,941,293.60, 746,408,055.60 and 293,364,064.80 is: 439,749,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,941,293.60 : 746,408,055.60 = 293,364,064.80 : x
  2. Step 2: Convert to fraction form
    497,941,293.60/746,408,055.60 = 293,364,064.80/x
  3. Step 3: Cross multiply
    497,941,293.60x = 746,408,055.60 × 293,364,064.80
  4. Step 4: Simplify right side
    497,941,293.60x = 218,969,301,190,280,416
  5. Step 5: Solve for x
    x = 218,969,301,190,280,416/497,941,293.60
  6. Step 6: Final answer
    x = 439,749,231.50

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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.