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Finding the Fourth Proportional to 386,804,535,652.21, 580,206,803,478.33 and 386,804,535,652.21

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Solution

The fourth proportional to 386,804,535,652.21, 580,206,803,478.33 and 386,804,535,652.21 is: 580,206,803,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,804,535,652.21 : 580,206,803,478.33 = 386,804,535,652.21 : x
  2. Step 2: Convert to fraction form
    386,804,535,652.21/580,206,803,478.33 = 386,804,535,652.21/x
  3. Step 3: Cross multiply
    386,804,535,652.21x = 580,206,803,478.33 × 386,804,535,652.21
  4. Step 4: Simplify right side
    386,804,535,652.21x = 224,426,623,201,688,485,363,712
  5. Step 5: Solve for x
    x = 224,426,623,201,688,485,363,712/386,804,535,652.21
  6. Step 6: Final answer
    x = 580,206,803,478.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.