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Finding the Fourth Proportional to 527,638,008,014.20, 791,457,012,021.30 and 527,638,008,014.20

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Solution

The fourth proportional to 527,638,008,014.20, 791,457,012,021.30 and 527,638,008,014.20 is: 791,457,012,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,638,008,014.20 : 791,457,012,021.30 = 527,638,008,014.20 : x
  2. Step 2: Convert to fraction form
    527,638,008,014.20/791,457,012,021.30 = 527,638,008,014.20/x
  3. Step 3: Cross multiply
    527,638,008,014.20x = 791,457,012,021.30 × 527,638,008,014.20
  4. Step 4: Simplify right side
    527,638,008,014.20x = 417,602,801,251,789,490,356,224
  5. Step 5: Solve for x
    x = 417,602,801,251,789,490,356,224/527,638,008,014.20
  6. Step 6: Final answer
    x = 791,457,012,021.30

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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.