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Finding the Fourth Proportional to 6,698,993,432.40, 10,048,490,148.60 and 6,698,993,432.40

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Solution

The fourth proportional to 6,698,993,432.40, 10,048,490,148.60 and 6,698,993,432.40 is: 10,048,490,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698,993,432.40 : 10,048,490,148.60 = 6,698,993,432.40 : x
  2. Step 2: Convert to fraction form
    6,698,993,432.40/10,048,490,148.60 = 6,698,993,432.40/x
  3. Step 3: Cross multiply
    6,698,993,432.40x = 10,048,490,148.60 × 6,698,993,432.40
  4. Step 4: Simplify right side
    6,698,993,432.40x = 67,314,769,511,007,502,336
  5. Step 5: Solve for x
    x = 67,314,769,511,007,502,336/6,698,993,432.40
  6. Step 6: Final answer
    x = 10,048,490,148.60

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Double scale
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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.