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Finding the Fourth Proportional to 5,033,809,156,799, 7,550,713,735,198.40 and 5,033,809,156,799

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Solution

The fourth proportional to 5,033,809,156,799, 7,550,713,735,198.40 and 5,033,809,156,799 is: 7,550,713,735,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033,809,156,799 : 7,550,713,735,198.40 = 5,033,809,156,799 : x
  2. Step 2: Convert to fraction form
    5,033,809,156,799/7,550,713,735,198.40 = 5,033,809,156,799/x
  3. Step 3: Cross multiply
    5,033,809,156,799x = 7,550,713,735,198.40 × 5,033,809,156,799
  4. Step 4: Simplify right side
    5,033,809,156,799x = 38,008,851,940,609,686,356,623,360
  5. Step 5: Solve for x
    x = 38,008,851,940,609,686,356,623,360/5,033,809,156,799
  6. Step 6: Final answer
    x = 7,550,713,735,198.40

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Double scale
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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.