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Finding the Fourth Proportional to 493,957,068.76, 682,461,428.16 and 420,395,005.56

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Solution

The fourth proportional to 493,957,068.76, 682,461,428.16 and 420,395,005.56 is: 580,826,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,957,068.76 : 682,461,428.16 = 420,395,005.56 : x
  2. Step 2: Convert to fraction form
    493,957,068.76/682,461,428.16 = 420,395,005.56/x
  3. Step 3: Cross multiply
    493,957,068.76x = 682,461,428.16 × 420,395,005.56
  4. Step 4: Simplify right side
    493,957,068.76x = 286,903,375,885,808,736
  5. Step 5: Solve for x
    x = 286,903,375,885,808,736/493,957,068.76
  6. Step 6: Final answer
    x = 580,826,541.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.