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Finding the Fourth Proportional to 569,806,523.25, 786,357,577.85 and 315,487,878.49

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Solution

The fourth proportional to 569,806,523.25, 786,357,577.85 and 315,487,878.49 is: 435,386,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,806,523.25 : 786,357,577.85 = 315,487,878.49 : x
  2. Step 2: Convert to fraction form
    569,806,523.25/786,357,577.85 = 315,487,878.49/x
  3. Step 3: Cross multiply
    569,806,523.25x = 786,357,577.85 × 315,487,878.49
  4. Step 4: Simplify right side
    569,806,523.25x = 248,086,283,970,945,792
  5. Step 5: Solve for x
    x = 248,086,283,970,945,792/569,806,523.25
  6. Step 6: Final answer
    x = 435,386,879.32

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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.