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Finding the Fourth Proportional to 1,492,224,699.60, 2,234,032,377.30 and 1,492,224,699.60

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Solution

The fourth proportional to 1,492,224,699.60, 2,234,032,377.30 and 1,492,224,699.60 is: 2,234,032,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,224,699.60 : 2,234,032,377.30 = 1,492,224,699.60 : x
  2. Step 2: Convert to fraction form
    1,492,224,699.60/2,234,032,377.30 = 1,492,224,699.60/x
  3. Step 3: Cross multiply
    1,492,224,699.60x = 2,234,032,377.30 × 1,492,224,699.60
  4. Step 4: Simplify right side
    1,492,224,699.60x = 3,333,678,293,113,166,336
  5. Step 5: Solve for x
    x = 3,333,678,293,113,166,336/1,492,224,699.60
  6. Step 6: Final answer
    x = 2,234,032,377.30

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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.