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Finding the Fourth Proportional to 50,746,176,091.40, 76,119,264,137.10 and 50,746,176,091.40

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Solution

The fourth proportional to 50,746,176,091.40, 76,119,264,137.10 and 50,746,176,091.40 is: 76,119,264,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,746,176,091.40 : 76,119,264,137.10 = 50,746,176,091.40 : x
  2. Step 2: Convert to fraction form
    50,746,176,091.40/76,119,264,137.10 = 50,746,176,091.40/x
  3. Step 3: Cross multiply
    50,746,176,091.40x = 76,119,264,137.10 × 50,746,176,091.40
  4. Step 4: Simplify right side
    50,746,176,091.40x = 3,862,761,581,849,066,078,208
  5. Step 5: Solve for x
    x = 3,862,761,581,849,066,078,208/50,746,176,091.40
  6. Step 6: Final answer
    x = 76,119,264,137.10

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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.