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Finding the Fourth Proportional to 313,308,049.40, 469,962,074.10 and 313,308,049.40

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Solution

The fourth proportional to 313,308,049.40, 469,962,074.10 and 313,308,049.40 is: 469,962,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,308,049.40 : 469,962,074.10 = 313,308,049.40 : x
  2. Step 2: Convert to fraction form
    313,308,049.40/469,962,074.10 = 313,308,049.40/x
  3. Step 3: Cross multiply
    313,308,049.40x = 469,962,074.10 × 313,308,049.40
  4. Step 4: Simplify right side
    313,308,049.40x = 147,242,900,728,249,248
  5. Step 5: Solve for x
    x = 147,242,900,728,249,248/313,308,049.40
  6. Step 6: Final answer
    x = 469,962,074.10

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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.