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Finding the Fourth Proportional to 208,584,705.60, 292,623,249.60 and 208,584,705.60

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Solution

The fourth proportional to 208,584,705.60, 292,623,249.60 and 208,584,705.60 is: 292,623,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,584,705.60 : 292,623,249.60 = 208,584,705.60 : x
  2. Step 2: Convert to fraction form
    208,584,705.60/292,623,249.60 = 208,584,705.60/x
  3. Step 3: Cross multiply
    208,584,705.60x = 292,623,249.60 × 208,584,705.60
  4. Step 4: Simplify right side
    208,584,705.60x = 61,036,734,369,531,320
  5. Step 5: Solve for x
    x = 61,036,734,369,531,320/208,584,705.60
  6. Step 6: Final answer
    x = 292,623,249.60

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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.