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Finding the Fourth Proportional to 653,266,895.60, 978,766,602.60 and 551,230,223.60

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Solution

The fourth proportional to 653,266,895.60, 978,766,602.60 and 551,230,223.60 is: 825,888,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,266,895.60 : 978,766,602.60 = 551,230,223.60 : x
  2. Step 2: Convert to fraction form
    653,266,895.60/978,766,602.60 = 551,230,223.60/x
  3. Step 3: Cross multiply
    653,266,895.60x = 978,766,602.60 × 551,230,223.60
  4. Step 4: Simplify right side
    653,266,895.60x = 539,525,733,203,410,368
  5. Step 5: Solve for x
    x = 539,525,733,203,410,368/653,266,895.60
  6. Step 6: Final answer
    x = 825,888,678.64

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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.