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Finding the Fourth Proportional to 386,804,535,651.72, 580,206,803,477.60 and 386,804,535,651.72

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Solution

The fourth proportional to 386,804,535,651.72, 580,206,803,477.60 and 386,804,535,651.72 is: 580,206,803,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,804,535,651.72 : 580,206,803,477.60 = 386,804,535,651.72 : x
  2. Step 2: Convert to fraction form
    386,804,535,651.72/580,206,803,477.60 = 386,804,535,651.72/x
  3. Step 3: Cross multiply
    386,804,535,651.72x = 580,206,803,477.60 × 386,804,535,651.72
  4. Step 4: Simplify right side
    386,804,535,651.72x = 224,426,623,201,121,818,116,096
  5. Step 5: Solve for x
    x = 224,426,623,201,121,818,116,096/386,804,535,651.72
  6. Step 6: Final answer
    x = 580,206,803,477.60

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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.