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Finding the Fourth Proportional to 5,314,464,528.30, 7,971,696,792.45 and 5,314,464,528.30

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Solution

The fourth proportional to 5,314,464,528.30, 7,971,696,792.45 and 5,314,464,528.30 is: 7,971,696,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,464,528.30 : 7,971,696,792.45 = 5,314,464,528.30 : x
  2. Step 2: Convert to fraction form
    5,314,464,528.30/7,971,696,792.45 = 5,314,464,528.30/x
  3. Step 3: Cross multiply
    5,314,464,528.30x = 7,971,696,792.45 × 5,314,464,528.30
  4. Step 4: Simplify right side
    5,314,464,528.30x = 42,365,299,833,838,411,776
  5. Step 5: Solve for x
    x = 42,365,299,833,838,411,776/5,314,464,528.30
  6. Step 6: Final answer
    x = 7,971,696,792.45

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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.