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Finding the Fourth Proportional to 527,638,008,003.06, 791,457,012,004.65 and 527,638,008,003.06

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Solution

The fourth proportional to 527,638,008,003.06, 791,457,012,004.65 and 527,638,008,003.06 is: 791,457,012,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,638,008,003.06 : 791,457,012,004.65 = 527,638,008,003.06 : x
  2. Step 2: Convert to fraction form
    527,638,008,003.06/791,457,012,004.65 = 527,638,008,003.06/x
  3. Step 3: Cross multiply
    527,638,008,003.06x = 791,457,012,004.65 × 527,638,008,003.06
  4. Step 4: Simplify right side
    527,638,008,003.06x = 417,602,801,234,187,506,417,664
  5. Step 5: Solve for x
    x = 417,602,801,234,187,506,417,664/527,638,008,003.06
  6. Step 6: Final answer
    x = 791,457,012,004.65

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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.