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Finding the Fourth Proportional to 100,315,075.20, 150,472,612.80 and 100,315,075.20

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Solution

The fourth proportional to 100,315,075.20, 150,472,612.80 and 100,315,075.20 is: 150,472,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,315,075.20 : 150,472,612.80 = 100,315,075.20 : x
  2. Step 2: Convert to fraction form
    100,315,075.20/150,472,612.80 = 100,315,075.20/x
  3. Step 3: Cross multiply
    100,315,075.20x = 150,472,612.80 × 100,315,075.20
  4. Step 4: Simplify right side
    100,315,075.20x = 15,094,671,468,572,484
  5. Step 5: Solve for x
    x = 15,094,671,468,572,484/100,315,075.20
  6. Step 6: Final answer
    x = 150,472,612.80

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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.