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Finding the Fourth Proportional to 527,638,008,005.20, 791,457,012,007.80 and 527,638,008,005.20

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Solution

The fourth proportional to 527,638,008,005.20, 791,457,012,007.80 and 527,638,008,005.20 is: 791,457,012,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,638,008,005.20 : 791,457,012,007.80 = 527,638,008,005.20 : x
  2. Step 2: Convert to fraction form
    527,638,008,005.20/791,457,012,007.80 = 527,638,008,005.20/x
  3. Step 3: Cross multiply
    527,638,008,005.20x = 791,457,012,007.80 × 527,638,008,005.20
  4. Step 4: Simplify right side
    527,638,008,005.20x = 417,602,801,237,543,285,161,984
  5. Step 5: Solve for x
    x = 417,602,801,237,543,285,161,984/527,638,008,005.20
  6. Step 6: Final answer
    x = 791,457,012,007.80

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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.