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Finding the Fourth Proportional to 121,142,304,864.45, 181,713,457,296.67 and 121,142,304,864.45

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Solution

The fourth proportional to 121,142,304,864.45, 181,713,457,296.67 and 121,142,304,864.45 is: 181,713,457,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142,304,864.45 : 181,713,457,296.67 = 121,142,304,864.45 : x
  2. Step 2: Convert to fraction form
    121,142,304,864.45/181,713,457,296.67 = 121,142,304,864.45/x
  3. Step 3: Cross multiply
    121,142,304,864.45x = 181,713,457,296.67 × 121,142,304,864.45
  4. Step 4: Simplify right side
    121,142,304,864.45x = 22,013,187,041,806,413,463,552
  5. Step 5: Solve for x
    x = 22,013,187,041,806,413,463,552/121,142,304,864.45
  6. Step 6: Final answer
    x = 181,713,457,296.67

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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.