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Finding the Fourth Proportional to 974,678,637.60, 1,462,017,956.42 and 974,678,637.60

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Solution

The fourth proportional to 974,678,637.60, 1,462,017,956.42 and 974,678,637.60 is: 1,462,017,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,678,637.60 : 1,462,017,956.42 = 974,678,637.60 : x
  2. Step 2: Convert to fraction form
    974,678,637.60/1,462,017,956.42 = 974,678,637.60/x
  3. Step 3: Cross multiply
    974,678,637.60x = 1,462,017,956.42 × 974,678,637.60
  4. Step 4: Simplify right side
    974,678,637.60x = 1,424,997,669,910,181,888
  5. Step 5: Solve for x
    x = 1,424,997,669,910,181,888/974,678,637.60
  6. Step 6: Final answer
    x = 1,462,017,956.42

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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.