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Finding the Fourth Proportional to 4,549,485,729.70, 6,824,228,594.55 and 4,549,485,729.70

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Solution

The fourth proportional to 4,549,485,729.70, 6,824,228,594.55 and 4,549,485,729.70 is: 6,824,228,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549,485,729.70 : 6,824,228,594.55 = 4,549,485,729.70 : x
  2. Step 2: Convert to fraction form
    4,549,485,729.70/6,824,228,594.55 = 4,549,485,729.70/x
  3. Step 3: Cross multiply
    4,549,485,729.70x = 6,824,228,594.55 × 4,549,485,729.70
  4. Step 4: Simplify right side
    4,549,485,729.70x = 31,046,730,607,115,911,168
  5. Step 5: Solve for x
    x = 31,046,730,607,115,911,168/4,549,485,729.70
  6. Step 6: Final answer
    x = 6,824,228,594.55

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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.