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Finding the Fourth Proportional to 215,312,976,008.30, 322,969,464,012.45 and 215,312,976,008.30

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Solution

The fourth proportional to 215,312,976,008.30, 322,969,464,012.45 and 215,312,976,008.30 is: 322,969,464,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,312,976,008.30 : 322,969,464,012.45 = 215,312,976,008.30 : x
  2. Step 2: Convert to fraction form
    215,312,976,008.30/322,969,464,012.45 = 215,312,976,008.30/x
  3. Step 3: Cross multiply
    215,312,976,008.30x = 322,969,464,012.45 × 215,312,976,008.30
  4. Step 4: Simplify right side
    215,312,976,008.30x = 69,539,516,456,326,152,585,216
  5. Step 5: Solve for x
    x = 69,539,516,456,326,152,585,216/215,312,976,008.30
  6. Step 6: Final answer
    x = 322,969,464,012.45

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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.