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Finding the Fourth Proportional to 97,386,593,643.45, 146,079,890,465.17 and 97,386,593,643.45

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Solution

The fourth proportional to 97,386,593,643.45, 146,079,890,465.17 and 97,386,593,643.45 is: 146,079,890,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,593,643.45 : 146,079,890,465.17 = 97,386,593,643.45 : x
  2. Step 2: Convert to fraction form
    97,386,593,643.45/146,079,890,465.17 = 97,386,593,643.45/x
  3. Step 3: Cross multiply
    97,386,593,643.45x = 146,079,890,465.17 × 97,386,593,643.45
  4. Step 4: Simplify right side
    97,386,593,643.45x = 14,226,222,932,211,198,328,832
  5. Step 5: Solve for x
    x = 14,226,222,932,211,198,328,832/97,386,593,643.45
  6. Step 6: Final answer
    x = 146,079,890,465.17

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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.