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Finding the Fourth Proportional to 313,830,169.95, 469,849,459.73 and 313,830,169.95

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Solution

The fourth proportional to 313,830,169.95, 469,849,459.73 and 313,830,169.95 is: 469,849,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830,169.95 : 469,849,459.73 = 313,830,169.95 : x
  2. Step 2: Convert to fraction form
    313,830,169.95/469,849,459.73 = 313,830,169.95/x
  3. Step 3: Cross multiply
    313,830,169.95x = 469,849,459.73 × 313,830,169.95
  4. Step 4: Simplify right side
    313,830,169.95x = 147,452,935,796,412,448
  5. Step 5: Solve for x
    x = 147,452,935,796,412,448/313,830,169.95
  6. Step 6: Final answer
    x = 469,849,459.73

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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.