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Finding the Fourth Proportional to 386,804,535,643.72, 580,206,803,465.58 and 386,804,535,643.72

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Solution

The fourth proportional to 386,804,535,643.72, 580,206,803,465.58 and 386,804,535,643.72 is: 580,206,803,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,804,535,643.72 : 580,206,803,465.58 = 386,804,535,643.72 : x
  2. Step 2: Convert to fraction form
    386,804,535,643.72/580,206,803,465.58 = 386,804,535,643.72/x
  3. Step 3: Cross multiply
    386,804,535,643.72x = 580,206,803,465.58 × 386,804,535,643.72
  4. Step 4: Simplify right side
    386,804,535,643.72x = 224,426,623,191,830,763,667,456
  5. Step 5: Solve for x
    x = 224,426,623,191,830,763,667,456/386,804,535,643.72
  6. Step 6: Final answer
    x = 580,206,803,465.58

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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.