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Finding the Fourth Proportional to 192,657,208,096.80, 288,985,812,145.20 and 192,657,208,096.80

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Solution

The fourth proportional to 192,657,208,096.80, 288,985,812,145.20 and 192,657,208,096.80 is: 288,985,812,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,657,208,096.80 : 288,985,812,145.20 = 192,657,208,096.80 : x
  2. Step 2: Convert to fraction form
    192,657,208,096.80/288,985,812,145.20 = 192,657,208,096.80/x
  3. Step 3: Cross multiply
    192,657,208,096.80x = 288,985,812,145.20 × 192,657,208,096.80
  4. Step 4: Simplify right side
    192,657,208,096.80x = 55,675,199,747,480,549,851,136
  5. Step 5: Solve for x
    x = 55,675,199,747,480,549,851,136/192,657,208,096.80
  6. Step 6: Final answer
    x = 288,985,812,145.20

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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.