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Finding the Fourth Proportional to 4,016,119,176,032.40, 6,024,178,764,048.40 and 4,016,119,176,032.40

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Solution

The fourth proportional to 4,016,119,176,032.40, 6,024,178,764,048.40 and 4,016,119,176,032.40 is: 6,024,178,764,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016,119,176,032.40 : 6,024,178,764,048.40 = 4,016,119,176,032.40 : x
  2. Step 2: Convert to fraction form
    4,016,119,176,032.40/6,024,178,764,048.40 = 4,016,119,176,032.40/x
  3. Step 3: Cross multiply
    4,016,119,176,032.40x = 6,024,178,764,048.40 × 4,016,119,176,032.40
  4. Step 4: Simplify right side
    4,016,119,176,032.40x = 24,193,819,854,141,943,808,262,144
  5. Step 5: Solve for x
    x = 24,193,819,854,141,943,808,262,144/4,016,119,176,032.40
  6. Step 6: Final answer
    x = 6,024,178,764,048.40

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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.