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Finding the Fourth Proportional to 1,510,348,032,229.40, 2,265,522,048,344 and 1,510,348,032,229.40

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Solution

The fourth proportional to 1,510,348,032,229.40, 2,265,522,048,344 and 1,510,348,032,229.40 is: 2,265,522,048,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,348,032,229.40 : 2,265,522,048,344 = 1,510,348,032,229.40 : x
  2. Step 2: Convert to fraction form
    1,510,348,032,229.40/2,265,522,048,344 = 1,510,348,032,229.40/x
  3. Step 3: Cross multiply
    1,510,348,032,229.40x = 2,265,522,048,344 × 1,510,348,032,229.40
  4. Step 4: Simplify right side
    1,510,348,032,229.40x = 3,421,726,767,688,679,677,755,392
  5. Step 5: Solve for x
    x = 3,421,726,767,688,679,677,755,392/1,510,348,032,229.40
  6. Step 6: Final answer
    x = 2,265,522,048,344

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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.