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Finding the Fourth Proportional to 16,577,095,775.80, 24,865,643,663.70 and 16,577,095,775.80

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Solution

The fourth proportional to 16,577,095,775.80, 24,865,643,663.70 and 16,577,095,775.80 is: 24,865,643,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577,095,775.80 : 24,865,643,663.70 = 16,577,095,775.80 : x
  2. Step 2: Convert to fraction form
    16,577,095,775.80/24,865,643,663.70 = 16,577,095,775.80/x
  3. Step 3: Cross multiply
    16,577,095,775.80x = 24,865,643,663.70 × 16,577,095,775.80
  4. Step 4: Simplify right side
    16,577,095,775.80x = 412,200,156,540,069,281,792
  5. Step 5: Solve for x
    x = 412,200,156,540,069,281,792/16,577,095,775.80
  6. Step 6: Final answer
    x = 24,865,643,663.70

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Double scale
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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.