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Finding the Fourth Proportional to 130,380,728,574.90, 195,571,092,862.35 and 130,380,728,574.90

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Solution

The fourth proportional to 130,380,728,574.90, 195,571,092,862.35 and 130,380,728,574.90 is: 195,571,092,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,380,728,574.90 : 195,571,092,862.35 = 130,380,728,574.90 : x
  2. Step 2: Convert to fraction form
    130,380,728,574.90/195,571,092,862.35 = 130,380,728,574.90/x
  3. Step 3: Cross multiply
    130,380,728,574.90x = 195,571,092,862.35 × 130,380,728,574.90
  4. Step 4: Simplify right side
    130,380,728,574.90x = 25,498,701,575,582,619,009,024
  5. Step 5: Solve for x
    x = 25,498,701,575,582,619,009,024/130,380,728,574.90
  6. Step 6: Final answer
    x = 195,571,092,862.35

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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.