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Finding the Fourth Proportional to 208,584,597.60, 292,623,098.40 and 208,584,597.60

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Solution

The fourth proportional to 208,584,597.60, 292,623,098.40 and 208,584,597.60 is: 292,623,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,584,597.60 : 292,623,098.40 = 208,584,597.60 : x
  2. Step 2: Convert to fraction form
    208,584,597.60/292,623,098.40 = 208,584,597.60/x
  3. Step 3: Cross multiply
    208,584,597.60x = 292,623,098.40 × 208,584,597.60
  4. Step 4: Simplify right side
    208,584,597.60x = 61,036,671,228,229,200
  5. Step 5: Solve for x
    x = 61,036,671,228,229,200/208,584,597.60
  6. Step 6: Final answer
    x = 292,623,098.40

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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.