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Finding the Fourth Proportional to 263,088,009.80, 369,129,429.40 and 263,088,009.80

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Solution

The fourth proportional to 263,088,009.80, 369,129,429.40 and 263,088,009.80 is: 369,129,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,088,009.80 : 369,129,429.40 = 263,088,009.80 : x
  2. Step 2: Convert to fraction form
    263,088,009.80/369,129,429.40 = 263,088,009.80/x
  3. Step 3: Cross multiply
    263,088,009.80x = 369,129,429.40 × 263,088,009.80
  4. Step 4: Simplify right side
    263,088,009.80x = 97,113,526,939,455,600
  5. Step 5: Solve for x
    x = 97,113,526,939,455,600/263,088,009.80
  6. Step 6: Final answer
    x = 369,129,429.40

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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.