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Finding the Fourth Proportional to 982,683,009,701.70, 1,474,024,514,552.50 and 982,683,009,701.70

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Solution

The fourth proportional to 982,683,009,701.70, 1,474,024,514,552.50 and 982,683,009,701.70 is: 1,474,024,514,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,683,009,701.70 : 1,474,024,514,552.50 = 982,683,009,701.70 : x
  2. Step 2: Convert to fraction form
    982,683,009,701.70/1,474,024,514,552.50 = 982,683,009,701.70/x
  3. Step 3: Cross multiply
    982,683,009,701.70x = 1,474,024,514,552.50 × 982,683,009,701.70
  4. Step 4: Simplify right side
    982,683,009,701.70x = 1,448,498,846,334,537,930,113,024
  5. Step 5: Solve for x
    x = 1,448,498,846,334,537,930,113,024/982,683,009,701.70
  6. Step 6: Final answer
    x = 1,474,024,514,552.50

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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.