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Finding the Fourth Proportional to 30,698,103,613.48, 46,047,155,420.21 and 30,698,103,613.48

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Solution

The fourth proportional to 30,698,103,613.48, 46,047,155,420.21 and 30,698,103,613.48 is: 46,047,155,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698,103,613.48 : 46,047,155,420.21 = 30,698,103,613.48 : x
  2. Step 2: Convert to fraction form
    30,698,103,613.48/46,047,155,420.21 = 30,698,103,613.48/x
  3. Step 3: Cross multiply
    30,698,103,613.48x = 46,047,155,420.21 × 30,698,103,613.48
  4. Step 4: Simplify right side
    30,698,103,613.48x = 1,413,560,348,195,623,796,736
  5. Step 5: Solve for x
    x = 1,413,560,348,195,623,796,736/30,698,103,613.48
  6. Step 6: Final answer
    x = 46,047,155,420.21

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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.