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Finding the Fourth Proportional to 52,152,287,117.20, 78,228,430,675.80 and 52,152,287,117.20

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Solution

The fourth proportional to 52,152,287,117.20, 78,228,430,675.80 and 52,152,287,117.20 is: 78,228,430,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152,287,117.20 : 78,228,430,675.80 = 52,152,287,117.20 : x
  2. Step 2: Convert to fraction form
    52,152,287,117.20/78,228,430,675.80 = 52,152,287,117.20/x
  3. Step 3: Cross multiply
    52,152,287,117.20x = 78,228,430,675.80 × 52,152,287,117.20
  4. Step 4: Simplify right side
    52,152,287,117.20x = 4,079,791,577,332,297,760,768
  5. Step 5: Solve for x
    x = 4,079,791,577,332,297,760,768/52,152,287,117.20
  6. Step 6: Final answer
    x = 78,228,430,675.80

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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.