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Finding the Fourth Proportional to 650,710,326.60, 897,648,211.62 and 415,513,698.12

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Solution

The fourth proportional to 650,710,326.60, 897,648,211.62 and 415,513,698.12 is: 573,196,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,710,326.60 : 897,648,211.62 = 415,513,698.12 : x
  2. Step 2: Convert to fraction form
    650,710,326.60/897,648,211.62 = 415,513,698.12/x
  3. Step 3: Cross multiply
    650,710,326.60x = 897,648,211.62 × 415,513,698.12
  4. Step 4: Simplify right side
    650,710,326.60x = 372,985,128,021,030,592
  5. Step 5: Solve for x
    x = 372,985,128,021,030,592/650,710,326.60
  6. Step 6: Final answer
    x = 573,196,878.51

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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.