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Finding the Fourth Proportional to 29,993,312,145.60, 44,989,968,218.40 and 29,993,312,145.60

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Solution

The fourth proportional to 29,993,312,145.60, 44,989,968,218.40 and 29,993,312,145.60 is: 44,989,968,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,993,312,145.60 : 44,989,968,218.40 = 29,993,312,145.60 : x
  2. Step 2: Convert to fraction form
    29,993,312,145.60/44,989,968,218.40 = 29,993,312,145.60/x
  3. Step 3: Cross multiply
    29,993,312,145.60x = 44,989,968,218.40 × 29,993,312,145.60
  4. Step 4: Simplify right side
    29,993,312,145.60x = 1,349,398,160,195,094,577,152
  5. Step 5: Solve for x
    x = 1,349,398,160,195,094,577,152/29,993,312,145.60
  6. Step 6: Final answer
    x = 44,989,968,218.40

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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.