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Finding the Fourth Proportional to 1,200,208,758.06, 1,797,983,682.92 and 884,501,423.58

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Solution

The fourth proportional to 1,200,208,758.06, 1,797,983,682.92 and 884,501,423.58 is: 1,325,035,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,208,758.06 : 1,797,983,682.92 = 884,501,423.58 : x
  2. Step 2: Convert to fraction form
    1,200,208,758.06/1,797,983,682.92 = 884,501,423.58/x
  3. Step 3: Cross multiply
    1,200,208,758.06x = 1,797,983,682.92 × 884,501,423.58
  4. Step 4: Simplify right side
    1,200,208,758.06x = 1,590,319,127,116,351,488
  5. Step 5: Solve for x
    x = 1,590,319,127,116,351,488/1,200,208,758.06
  6. Step 6: Final answer
    x = 1,325,035,429.41

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1.5x scale

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.