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Finding the Fourth Proportional to 6,089,256,098.40, 8,506,591,936.80 and 6,089,256,098.40

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Solution

The fourth proportional to 6,089,256,098.40, 8,506,591,936.80 and 6,089,256,098.40 is: 8,506,591,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089,256,098.40 : 8,506,591,936.80 = 6,089,256,098.40 : x
  2. Step 2: Convert to fraction form
    6,089,256,098.40/8,506,591,936.80 = 6,089,256,098.40/x
  3. Step 3: Cross multiply
    6,089,256,098.40x = 8,506,591,936.80 × 6,089,256,098.40
  4. Step 4: Simplify right side
    6,089,256,098.40x = 51,798,816,827,759,665,152
  5. Step 5: Solve for x
    x = 51,798,816,827,759,665,152/6,089,256,098.40
  6. Step 6: Final answer
    x = 8,506,591,936.80

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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.