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Finding the Fourth Proportional to 155,157,530,043.30, 232,736,295,064.93 and 155,157,530,043.30

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Solution

The fourth proportional to 155,157,530,043.30, 232,736,295,064.93 and 155,157,530,043.30 is: 232,736,295,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,157,530,043.30 : 232,736,295,064.93 = 155,157,530,043.30 : x
  2. Step 2: Convert to fraction form
    155,157,530,043.30/232,736,295,064.93 = 155,157,530,043.30/x
  3. Step 3: Cross multiply
    155,157,530,043.30x = 232,736,295,064.93 × 155,157,530,043.30
  4. Step 4: Simplify right side
    155,157,530,043.30x = 36,110,788,693,703,207,682,048
  5. Step 5: Solve for x
    x = 36,110,788,693,703,207,682,048/155,157,530,043.30
  6. Step 6: Final answer
    x = 232,736,295,064.93

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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.