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Finding the Fourth Proportional to 4,903,300,655,999.40, 7,354,950,983,999.10 and 4,903,300,655,999.40

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Solution

The fourth proportional to 4,903,300,655,999.40, 7,354,950,983,999.10 and 4,903,300,655,999.40 is: 7,354,950,983,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903,300,655,999.40 : 7,354,950,983,999.10 = 4,903,300,655,999.40 : x
  2. Step 2: Convert to fraction form
    4,903,300,655,999.40/7,354,950,983,999.10 = 4,903,300,655,999.40/x
  3. Step 3: Cross multiply
    4,903,300,655,999.40x = 7,354,950,983,999.10 × 4,903,300,655,999.40
  4. Step 4: Simplify right side
    4,903,300,655,999.40x = 36,063,535,984,686,221,515,292,672
  5. Step 5: Solve for x
    x = 36,063,535,984,686,221,515,292,672/4,903,300,655,999.40
  6. Step 6: Final answer
    x = 7,354,950,983,999.10

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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.