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Finding the Fourth Proportional to 459,089,781.40, 688,634,672.19 and 459,089,781.40

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Solution

The fourth proportional to 459,089,781.40, 688,634,672.19 and 459,089,781.40 is: 688,634,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,089,781.40 : 688,634,672.19 = 459,089,781.40 : x
  2. Step 2: Convert to fraction form
    459,089,781.40/688,634,672.19 = 459,089,781.40/x
  3. Step 3: Cross multiply
    459,089,781.40x = 688,634,672.19 × 459,089,781.40
  4. Step 4: Simplify right side
    459,089,781.40x = 316,145,141,120,167,744
  5. Step 5: Solve for x
    x = 316,145,141,120,167,744/459,089,781.40
  6. Step 6: Final answer
    x = 688,634,672.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.