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Finding the Fourth Proportional to 6,178,176,065.40, 9,267,264,098.10 and 6,178,176,065.40

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Solution

The fourth proportional to 6,178,176,065.40, 9,267,264,098.10 and 6,178,176,065.40 is: 9,267,264,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,176,065.40 : 9,267,264,098.10 = 6,178,176,065.40 : x
  2. Step 2: Convert to fraction form
    6,178,176,065.40/9,267,264,098.10 = 6,178,176,065.40/x
  3. Step 3: Cross multiply
    6,178,176,065.40x = 9,267,264,098.10 × 6,178,176,065.40
  4. Step 4: Simplify right side
    6,178,176,065.40x = 57,254,789,242,622,140,416
  5. Step 5: Solve for x
    x = 57,254,789,242,622,140,416/6,178,176,065.40
  6. Step 6: Final answer
    x = 9,267,264,098.10

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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.