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Finding the Fourth Proportional to 458,171,907.40, 686,502,033.90 and 390,147,459.40

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Solution

The fourth proportional to 458,171,907.40, 686,502,033.90 and 390,147,459.40 is: 584,577,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,171,907.40 : 686,502,033.90 = 390,147,459.40 : x
  2. Step 2: Convert to fraction form
    458,171,907.40/686,502,033.90 = 390,147,459.40/x
  3. Step 3: Cross multiply
    458,171,907.40x = 686,502,033.90 × 390,147,459.40
  4. Step 4: Simplify right side
    458,171,907.40x = 267,837,024,399,017,632
  5. Step 5: Solve for x
    x = 267,837,024,399,017,632/458,171,907.40
  6. Step 6: Final answer
    x = 584,577,579.01

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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.