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Finding the Fourth Proportional to 478,381,195,205.40, 717,571,792,808.10 and 478,381,195,205.40

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Solution

The fourth proportional to 478,381,195,205.40, 717,571,792,808.10 and 478,381,195,205.40 is: 717,571,792,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,381,195,205.40 : 717,571,792,808.10 = 478,381,195,205.40 : x
  2. Step 2: Convert to fraction form
    478,381,195,205.40/717,571,792,808.10 = 478,381,195,205.40/x
  3. Step 3: Cross multiply
    478,381,195,205.40x = 717,571,792,808.10 × 478,381,195,205.40
  4. Step 4: Simplify right side
    478,381,195,205.40x = 343,272,851,889,220,524,965,888
  5. Step 5: Solve for x
    x = 343,272,851,889,220,524,965,888/478,381,195,205.40
  6. Step 6: Final answer
    x = 717,571,792,808.10

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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.