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Finding the Fourth Proportional to 5,440,242,569.90, 7,630,851,480.10 and 5,440,242,569.90

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Solution

The fourth proportional to 5,440,242,569.90, 7,630,851,480.10 and 5,440,242,569.90 is: 7,630,851,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440,242,569.90 : 7,630,851,480.10 = 5,440,242,569.90 : x
  2. Step 2: Convert to fraction form
    5,440,242,569.90/7,630,851,480.10 = 5,440,242,569.90/x
  3. Step 3: Cross multiply
    5,440,242,569.90x = 7,630,851,480.10 × 5,440,242,569.90
  4. Step 4: Simplify right side
    5,440,242,569.90x = 41,513,683,066,624,442,368
  5. Step 5: Solve for x
    x = 41,513,683,066,624,442,368/5,440,242,569.90
  6. Step 6: Final answer
    x = 7,630,851,480.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.