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Finding the Fourth Proportional to 573,186,702.80, 790,997,862.60 and 325,668,382.16

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Solution

The fourth proportional to 573,186,702.80, 790,997,862.60 and 325,668,382.16 is: 449,422,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,186,702.80 : 790,997,862.60 = 325,668,382.16 : x
  2. Step 2: Convert to fraction form
    573,186,702.80/790,997,862.60 = 325,668,382.16/x
  3. Step 3: Cross multiply
    573,186,702.80x = 790,997,862.60 × 325,668,382.16
  4. Step 4: Simplify right side
    573,186,702.80x = 257,602,994,204,960,000
  5. Step 5: Solve for x
    x = 257,602,994,204,960,000/573,186,702.80
  6. Step 6: Final answer
    x = 449,422,488.25

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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.