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Finding the Fourth Proportional to 32,462,742,625.80, 48,694,113,938.70 and 32,462,742,625.80

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Solution

The fourth proportional to 32,462,742,625.80, 48,694,113,938.70 and 32,462,742,625.80 is: 48,694,113,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462,742,625.80 : 48,694,113,938.70 = 32,462,742,625.80 : x
  2. Step 2: Convert to fraction form
    32,462,742,625.80/48,694,113,938.70 = 32,462,742,625.80/x
  3. Step 3: Cross multiply
    32,462,742,625.80x = 48,694,113,938.70 × 32,462,742,625.80
  4. Step 4: Simplify right side
    32,462,742,625.80x = 1,580,744,488,183,398,400,000
  5. Step 5: Solve for x
    x = 1,580,744,488,183,398,400,000/32,462,742,625.80
  6. Step 6: Final answer
    x = 48,694,113,938.70

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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.