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Finding the Fourth Proportional to 47,051,006,434.40, 66,036,708,416.80 and 47,051,006,434.40

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Solution

The fourth proportional to 47,051,006,434.40, 66,036,708,416.80 and 47,051,006,434.40 is: 66,036,708,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051,006,434.40 : 66,036,708,416.80 = 47,051,006,434.40 : x
  2. Step 2: Convert to fraction form
    47,051,006,434.40/66,036,708,416.80 = 47,051,006,434.40/x
  3. Step 3: Cross multiply
    47,051,006,434.40x = 66,036,708,416.80 × 47,051,006,434.40
  4. Step 4: Simplify right side
    47,051,006,434.40x = 3,107,093,592,625,453,727,744
  5. Step 5: Solve for x
    x = 3,107,093,592,625,453,727,744/47,051,006,434.40
  6. Step 6: Final answer
    x = 66,036,708,416.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.