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Finding the Fourth Proportional to 4,007,232,506.40, 5,598,659,330.40 and 4,007,232,506.40

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Solution

The fourth proportional to 4,007,232,506.40, 5,598,659,330.40 and 4,007,232,506.40 is: 5,598,659,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007,232,506.40 : 5,598,659,330.40 = 4,007,232,506.40 : x
  2. Step 2: Convert to fraction form
    4,007,232,506.40/5,598,659,330.40 = 4,007,232,506.40/x
  3. Step 3: Cross multiply
    4,007,232,506.40x = 5,598,659,330.40 × 4,007,232,506.40
  4. Step 4: Simplify right side
    4,007,232,506.40x = 22,435,129,661,038,538,752
  5. Step 5: Solve for x
    x = 22,435,129,661,038,538,752/4,007,232,506.40
  6. Step 6: Final answer
    x = 5,598,659,330.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.