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Finding the Fourth Proportional to 382,742,407.80, 574,113,611.70 and 382,742,407.80

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Solution

The fourth proportional to 382,742,407.80, 574,113,611.70 and 382,742,407.80 is: 574,113,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,742,407.80 : 574,113,611.70 = 382,742,407.80 : x
  2. Step 2: Convert to fraction form
    382,742,407.80/574,113,611.70 = 382,742,407.80/x
  3. Step 3: Cross multiply
    382,742,407.80x = 574,113,611.70 × 382,742,407.80
  4. Step 4: Simplify right side
    382,742,407.80x = 219,737,626,092,812,288
  5. Step 5: Solve for x
    x = 219,737,626,092,812,288/382,742,407.80
  6. Step 6: Final answer
    x = 574,113,611.70

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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.