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Finding the Fourth Proportional to 12,878,029,497.60, 19,317,044,246.40 and 12,878,029,497.60

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Solution

The fourth proportional to 12,878,029,497.60, 19,317,044,246.40 and 12,878,029,497.60 is: 19,317,044,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878,029,497.60 : 19,317,044,246.40 = 12,878,029,497.60 : x
  2. Step 2: Convert to fraction form
    12,878,029,497.60/19,317,044,246.40 = 12,878,029,497.60/x
  3. Step 3: Cross multiply
    12,878,029,497.60x = 19,317,044,246.40 × 12,878,029,497.60
  4. Step 4: Simplify right side
    12,878,029,497.60x = 248,765,465,611,583,586,304
  5. Step 5: Solve for x
    x = 248,765,465,611,583,586,304/12,878,029,497.60
  6. Step 6: Final answer
    x = 19,317,044,246.40

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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.