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Finding the Fourth Proportional to 565,165,257.59, 779,928,702.07 and 314,264,262.48

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Solution

The fourth proportional to 565,165,257.59, 779,928,702.07 and 314,264,262.48 is: 433,685,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,165,257.59 : 779,928,702.07 = 314,264,262.48 : x
  2. Step 2: Convert to fraction form
    565,165,257.59/779,928,702.07 = 314,264,262.48/x
  3. Step 3: Cross multiply
    565,165,257.59x = 779,928,702.07 × 314,264,262.48
  4. Step 4: Simplify right side
    565,165,257.59x = 245,103,718,344,289,888
  5. Step 5: Solve for x
    x = 245,103,718,344,289,888/565,165,257.59
  6. Step 6: Final answer
    x = 433,685,041.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.