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Finding the Fourth Proportional to 31,046,688,863.80, 46,570,033,295.70 and 31,046,688,863.80

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Solution

The fourth proportional to 31,046,688,863.80, 46,570,033,295.70 and 31,046,688,863.80 is: 46,570,033,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046,688,863.80 : 46,570,033,295.70 = 31,046,688,863.80 : x
  2. Step 2: Convert to fraction form
    31,046,688,863.80/46,570,033,295.70 = 31,046,688,863.80/x
  3. Step 3: Cross multiply
    31,046,688,863.80x = 46,570,033,295.70 × 31,046,688,863.80
  4. Step 4: Simplify right side
    31,046,688,863.80x = 1,445,845,334,108,404,187,136
  5. Step 5: Solve for x
    x = 1,445,845,334,108,404,187,136/31,046,688,863.80
  6. Step 6: Final answer
    x = 46,570,033,295.70

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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.