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Finding the Fourth Proportional to 10,784,122,382.90, 16,176,183,574.35 and 10,784,122,382.90

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Solution

The fourth proportional to 10,784,122,382.90, 16,176,183,574.35 and 10,784,122,382.90 is: 16,176,183,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784,122,382.90 : 16,176,183,574.35 = 10,784,122,382.90 : x
  2. Step 2: Convert to fraction form
    10,784,122,382.90/16,176,183,574.35 = 10,784,122,382.90/x
  3. Step 3: Cross multiply
    10,784,122,382.90x = 16,176,183,574.35 × 10,784,122,382.90
  4. Step 4: Simplify right side
    10,784,122,382.90x = 174,445,943,354,047,168,512
  5. Step 5: Solve for x
    x = 174,445,943,354,047,168,512/10,784,122,382.90
  6. Step 6: Final answer
    x = 16,176,183,574.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.