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Finding the Fourth Proportional to 435,602,080.20, 610,296,408.60 and 435,602,080.20

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Solution

The fourth proportional to 435,602,080.20, 610,296,408.60 and 435,602,080.20 is: 610,296,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,602,080.20 : 610,296,408.60 = 435,602,080.20 : x
  2. Step 2: Convert to fraction form
    435,602,080.20/610,296,408.60 = 435,602,080.20/x
  3. Step 3: Cross multiply
    435,602,080.20x = 610,296,408.60 × 435,602,080.20
  4. Step 4: Simplify right side
    435,602,080.20x = 265,846,385,124,749,184
  5. Step 5: Solve for x
    x = 265,846,385,124,749,184/435,602,080.20
  6. Step 6: Final answer
    x = 610,296,408.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.