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Finding the Fourth Proportional to 1,005,518,448,211, 1,508,277,672,316.40 and 1,005,518,448,211

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Solution

The fourth proportional to 1,005,518,448,211, 1,508,277,672,316.40 and 1,005,518,448,211 is: 1,508,277,672,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,518,448,211 : 1,508,277,672,316.40 = 1,005,518,448,211 : x
  2. Step 2: Convert to fraction form
    1,005,518,448,211/1,508,277,672,316.40 = 1,005,518,448,211/x
  3. Step 3: Cross multiply
    1,005,518,448,211x = 1,508,277,672,316.40 × 1,005,518,448,211
  4. Step 4: Simplify right side
    1,005,518,448,211x = 1,516,601,024,538,885,656,412,160
  5. Step 5: Solve for x
    x = 1,516,601,024,538,885,656,412,160/1,005,518,448,211
  6. Step 6: Final answer
    x = 1,508,277,672,316.40

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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.