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Finding the Fourth Proportional to 190,099,164,013.30, 285,148,746,019.95 and 190,099,164,013.30

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Solution

The fourth proportional to 190,099,164,013.30, 285,148,746,019.95 and 190,099,164,013.30 is: 285,148,746,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,099,164,013.30 : 285,148,746,019.95 = 190,099,164,013.30 : x
  2. Step 2: Convert to fraction form
    190,099,164,013.30/285,148,746,019.95 = 190,099,164,013.30/x
  3. Step 3: Cross multiply
    190,099,164,013.30x = 285,148,746,019.95 × 190,099,164,013.30
  4. Step 4: Simplify right side
    190,099,164,013.30x = 54,206,538,237,833,295,953,920
  5. Step 5: Solve for x
    x = 54,206,538,237,833,295,953,920/190,099,164,013.30
  6. Step 6: Final answer
    x = 285,148,746,019.95

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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.