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Finding the Fourth Proportional to 4,657,152,043.80, 6,985,728,065.70 and 4,657,152,043.80

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Solution

The fourth proportional to 4,657,152,043.80, 6,985,728,065.70 and 4,657,152,043.80 is: 6,985,728,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,152,043.80 : 6,985,728,065.70 = 4,657,152,043.80 : x
  2. Step 2: Convert to fraction form
    4,657,152,043.80/6,985,728,065.70 = 4,657,152,043.80/x
  3. Step 3: Cross multiply
    4,657,152,043.80x = 6,985,728,065.70 × 4,657,152,043.80
  4. Step 4: Simplify right side
    4,657,152,043.80x = 32,533,597,738,605,776,896
  5. Step 5: Solve for x
    x = 32,533,597,738,605,776,896/4,657,152,043.80
  6. Step 6: Final answer
    x = 6,985,728,065.70

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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.