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Finding the Fourth Proportional to 30,698,103,615.73, 46,047,155,423.59 and 30,698,103,615.73

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Solution

The fourth proportional to 30,698,103,615.73, 46,047,155,423.59 and 30,698,103,615.73 is: 46,047,155,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698,103,615.73 : 46,047,155,423.59 = 30,698,103,615.73 : x
  2. Step 2: Convert to fraction form
    30,698,103,615.73/46,047,155,423.59 = 30,698,103,615.73/x
  3. Step 3: Cross multiply
    30,698,103,615.73x = 46,047,155,423.59 × 30,698,103,615.73
  4. Step 4: Simplify right side
    30,698,103,615.73x = 1,413,560,348,402,989,400,064
  5. Step 5: Solve for x
    x = 1,413,560,348,402,989,400,064/30,698,103,615.73
  6. Step 6: Final answer
    x = 46,047,155,423.59

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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.