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Finding the Fourth Proportional to 504,453,867.80, 756,680,801.70 and 309,733,885.40

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Solution

The fourth proportional to 504,453,867.80, 756,680,801.70 and 309,733,885.40 is: 464,600,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,453,867.80 : 756,680,801.70 = 309,733,885.40 : x
  2. Step 2: Convert to fraction form
    504,453,867.80/756,680,801.70 = 309,733,885.40/x
  3. Step 3: Cross multiply
    504,453,867.80x = 756,680,801.70 × 309,733,885.40
  4. Step 4: Simplify right side
    504,453,867.80x = 234,369,684,718,127,936
  5. Step 5: Solve for x
    x = 234,369,684,718,127,936/504,453,867.80
  6. Step 6: Final answer
    x = 464,600,828.10

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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.