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Finding the Fourth Proportional to 15,683,667,068.30, 22,012,233,698.50 and 15,683,667,068.30

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Solution

The fourth proportional to 15,683,667,068.30, 22,012,233,698.50 and 15,683,667,068.30 is: 22,012,233,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683,667,068.30 : 22,012,233,698.50 = 15,683,667,068.30 : x
  2. Step 2: Convert to fraction form
    15,683,667,068.30/22,012,233,698.50 = 15,683,667,068.30/x
  3. Step 3: Cross multiply
    15,683,667,068.30x = 22,012,233,698.50 × 15,683,667,068.30
  4. Step 4: Simplify right side
    15,683,667,068.30x = 345,232,544,756,887,912,448
  5. Step 5: Solve for x
    x = 345,232,544,756,887,912,448/15,683,667,068.30
  6. Step 6: Final answer
    x = 22,012,233,698.50

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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.