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Finding the Fourth Proportional to 504,727,246.20, 707,638,511.40 and 504,727,246.20

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Solution

The fourth proportional to 504,727,246.20, 707,638,511.40 and 504,727,246.20 is: 707,638,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,727,246.20 : 707,638,511.40 = 504,727,246.20 : x
  2. Step 2: Convert to fraction form
    504,727,246.20/707,638,511.40 = 504,727,246.20/x
  3. Step 3: Cross multiply
    504,727,246.20x = 707,638,511.40 × 504,727,246.20
  4. Step 4: Simplify right side
    504,727,246.20x = 357,164,437,163,989,312
  5. Step 5: Solve for x
    x = 357,164,437,163,989,312/504,727,246.20
  6. Step 6: Final answer
    x = 707,638,511.40

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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.