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Finding the Fourth Proportional to 30,698,103,611.10, 46,047,155,416.65 and 30,698,103,611.10

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Solution

The fourth proportional to 30,698,103,611.10, 46,047,155,416.65 and 30,698,103,611.10 is: 46,047,155,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698,103,611.10 : 46,047,155,416.65 = 30,698,103,611.10 : x
  2. Step 2: Convert to fraction form
    30,698,103,611.10/46,047,155,416.65 = 30,698,103,611.10/x
  3. Step 3: Cross multiply
    30,698,103,611.10x = 46,047,155,416.65 × 30,698,103,611.10
  4. Step 4: Simplify right side
    30,698,103,611.10x = 1,413,560,347,976,746,139,648
  5. Step 5: Solve for x
    x = 1,413,560,347,976,746,139,648/30,698,103,611.10
  6. Step 6: Final answer
    x = 46,047,155,416.65

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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.