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Finding the Fourth Proportional to 458,435,005,207.60, 687,652,507,811.40 and 458,435,005,207.60

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Solution

The fourth proportional to 458,435,005,207.60, 687,652,507,811.40 and 458,435,005,207.60 is: 687,652,507,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,435,005,207.60 : 687,652,507,811.40 = 458,435,005,207.60 : x
  2. Step 2: Convert to fraction form
    458,435,005,207.60/687,652,507,811.40 = 458,435,005,207.60/x
  3. Step 3: Cross multiply
    458,435,005,207.60x = 687,652,507,811.40 × 458,435,005,207.60
  4. Step 4: Simplify right side
    458,435,005,207.60x = 315,243,980,999,538,367,266,816
  5. Step 5: Solve for x
    x = 315,243,980,999,538,367,266,816/458,435,005,207.60
  6. Step 6: Final answer
    x = 687,652,507,811.40

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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.