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Finding the Fourth Proportional to 533,316,094, 735,970,787.40 and 295,161,743.13

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Solution

The fourth proportional to 533,316,094, 735,970,787.40 and 295,161,743.13 is: 407,320,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,316,094 : 735,970,787.40 = 295,161,743.13 : x
  2. Step 2: Convert to fraction form
    533,316,094/735,970,787.40 = 295,161,743.13/x
  3. Step 3: Cross multiply
    533,316,094x = 735,970,787.40 × 295,161,743.13
  4. Step 4: Simplify right side
    533,316,094x = 217,230,420,501,742,624
  5. Step 5: Solve for x
    x = 217,230,420,501,742,624/533,316,094
  6. Step 6: Final answer
    x = 407,320,204.56

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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.