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Finding the Fourth Proportional to 647,232,687,067.80, 970,849,030,601.70 and 647,232,687,067.80

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Solution

The fourth proportional to 647,232,687,067.80, 970,849,030,601.70 and 647,232,687,067.80 is: 970,849,030,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,232,687,067.80 : 970,849,030,601.70 = 647,232,687,067.80 : x
  2. Step 2: Convert to fraction form
    647,232,687,067.80/970,849,030,601.70 = 647,232,687,067.80/x
  3. Step 3: Cross multiply
    647,232,687,067.80x = 970,849,030,601.70 × 647,232,687,067.80
  4. Step 4: Simplify right side
    647,232,687,067.80x = 628,365,226,813,507,049,095,168
  5. Step 5: Solve for x
    x = 628,365,226,813,507,049,095,168/647,232,687,067.80
  6. Step 6: Final answer
    x = 970,849,030,601.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.