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Finding the Fourth Proportional to 30,698,103,615.23, 46,047,155,422.85 and 30,698,103,615.23

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Solution

The fourth proportional to 30,698,103,615.23, 46,047,155,422.85 and 30,698,103,615.23 is: 46,047,155,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698,103,615.23 : 46,047,155,422.85 = 30,698,103,615.23 : x
  2. Step 2: Convert to fraction form
    30,698,103,615.23/46,047,155,422.85 = 30,698,103,615.23/x
  3. Step 3: Cross multiply
    30,698,103,615.23x = 46,047,155,422.85 × 30,698,103,615.23
  4. Step 4: Simplify right side
    30,698,103,615.23x = 1,413,560,348,356,865,425,408
  5. Step 5: Solve for x
    x = 1,413,560,348,356,865,425,408/30,698,103,615.23
  6. Step 6: Final answer
    x = 46,047,155,422.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.