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Finding the Fourth Proportional to 99,084,224,809.20, 148,626,337,213.80 and 99,084,224,809.20

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Solution

The fourth proportional to 99,084,224,809.20, 148,626,337,213.80 and 99,084,224,809.20 is: 148,626,337,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084,224,809.20 : 148,626,337,213.80 = 99,084,224,809.20 : x
  2. Step 2: Convert to fraction form
    99,084,224,809.20/148,626,337,213.80 = 99,084,224,809.20/x
  3. Step 3: Cross multiply
    99,084,224,809.20x = 148,626,337,213.80 × 99,084,224,809.20
  4. Step 4: Simplify right side
    99,084,224,809.20x = 14,726,525,409,060,125,147,136
  5. Step 5: Solve for x
    x = 14,726,525,409,060,125,147,136/99,084,224,809.20
  6. Step 6: Final answer
    x = 148,626,337,213.80

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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.