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Finding the Fourth Proportional to 102,810,303,003.30, 153,925,216,860.15 and 102,810,303,003.30

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Solution

The fourth proportional to 102,810,303,003.30, 153,925,216,860.15 and 102,810,303,003.30 is: 153,925,216,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,810,303,003.30 : 153,925,216,860.15 = 102,810,303,003.30 : x
  2. Step 2: Convert to fraction form
    102,810,303,003.30/153,925,216,860.15 = 102,810,303,003.30/x
  3. Step 3: Cross multiply
    102,810,303,003.30x = 153,925,216,860.15 × 102,810,303,003.30
  4. Step 4: Simplify right side
    102,810,303,003.30x = 15,825,098,185,240,683,216,896
  5. Step 5: Solve for x
    x = 15,825,098,185,240,683,216,896/102,810,303,003.30
  6. Step 6: Final answer
    x = 153,925,216,860.15

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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.