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Finding the Fourth Proportional to 528,823,710.90, 741,118,470.30 and 528,823,710.90

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Solution

The fourth proportional to 528,823,710.90, 741,118,470.30 and 528,823,710.90 is: 741,118,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,823,710.90 : 741,118,470.30 = 528,823,710.90 : x
  2. Step 2: Convert to fraction form
    528,823,710.90/741,118,470.30 = 528,823,710.90/x
  3. Step 3: Cross multiply
    528,823,710.90x = 741,118,470.30 × 528,823,710.90
  4. Step 4: Simplify right side
    528,823,710.90x = 391,921,019,680,577,408
  5. Step 5: Solve for x
    x = 391,921,019,680,577,408/528,823,710.90
  6. Step 6: Final answer
    x = 741,118,470.30

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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.