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Finding the Fourth Proportional to 867,478,032,004.80, 1,301,217,048,007.20 and 867,478,032,004.80

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Solution

The fourth proportional to 867,478,032,004.80, 1,301,217,048,007.20 and 867,478,032,004.80 is: 1,301,217,048,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,478,032,004.80 : 1,301,217,048,007.20 = 867,478,032,004.80 : x
  2. Step 2: Convert to fraction form
    867,478,032,004.80/1,301,217,048,007.20 = 867,478,032,004.80/x
  3. Step 3: Cross multiply
    867,478,032,004.80x = 1,301,217,048,007.20 × 867,478,032,004.80
  4. Step 4: Simplify right side
    867,478,032,004.80x = 1,128,777,204,016,381,178,150,912
  5. Step 5: Solve for x
    x = 1,128,777,204,016,381,178,150,912/867,478,032,004.80
  6. Step 6: Final answer
    x = 1,301,217,048,007.20

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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.