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Finding the Fourth Proportional to 64,924,388,049.60, 97,231,613,878.80 and 64,924,388,049.60

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Solution

The fourth proportional to 64,924,388,049.60, 97,231,613,878.80 and 64,924,388,049.60 is: 97,231,613,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,924,388,049.60 : 97,231,613,878.80 = 64,924,388,049.60 : x
  2. Step 2: Convert to fraction form
    64,924,388,049.60/97,231,613,878.80 = 64,924,388,049.60/x
  3. Step 3: Cross multiply
    64,924,388,049.60x = 97,231,613,878.80 × 64,924,388,049.60
  4. Step 4: Simplify right side
    64,924,388,049.60x = 6,312,703,030,156,084,641,792
  5. Step 5: Solve for x
    x = 6,312,703,030,156,084,641,792/64,924,388,049.60
  6. Step 6: Final answer
    x = 97,231,613,878.80

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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.