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Finding the Fourth Proportional to 485,111,569,128.08, 727,667,353,692.16 and 485,111,569,128.08

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Solution

The fourth proportional to 485,111,569,128.08, 727,667,353,692.16 and 485,111,569,128.08 is: 727,667,353,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,111,569,128.08 : 727,667,353,692.16 = 485,111,569,128.08 : x
  2. Step 2: Convert to fraction form
    485,111,569,128.08/727,667,353,692.16 = 485,111,569,128.08/x
  3. Step 3: Cross multiply
    485,111,569,128.08x = 727,667,353,692.16 × 485,111,569,128.08
  4. Step 4: Simplify right side
    485,111,569,128.08x = 352,999,851,752,881,341,333,504
  5. Step 5: Solve for x
    x = 352,999,851,752,881,341,333,504/485,111,569,128.08
  6. Step 6: Final answer
    x = 727,667,353,692.16

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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.