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Finding the Fourth Proportional to 890,376,624,000.51, 1,335,564,936,000.80 and 890,376,624,000.51

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Solution

The fourth proportional to 890,376,624,000.51, 1,335,564,936,000.80 and 890,376,624,000.51 is: 1,335,564,936,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,376,624,000.51 : 1,335,564,936,000.80 = 890,376,624,000.51 : x
  2. Step 2: Convert to fraction form
    890,376,624,000.51/1,335,564,936,000.80 = 890,376,624,000.51/x
  3. Step 3: Cross multiply
    890,376,624,000.51x = 1,335,564,936,000.80 × 890,376,624,000.51
  4. Step 4: Simplify right side
    890,376,624,000.51x = 1,189,155,798,849,849,583,992,832
  5. Step 5: Solve for x
    x = 1,189,155,798,849,849,583,992,832/890,376,624,000.51
  6. Step 6: Final answer
    x = 1,335,564,936,000.80

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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.