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Finding the Fourth Proportional to 340,566,019,214.40, 510,849,028,821.60 and 340,566,019,214.40

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Solution

The fourth proportional to 340,566,019,214.40, 510,849,028,821.60 and 340,566,019,214.40 is: 510,849,028,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,566,019,214.40 : 510,849,028,821.60 = 340,566,019,214.40 : x
  2. Step 2: Convert to fraction form
    340,566,019,214.40/510,849,028,821.60 = 340,566,019,214.40/x
  3. Step 3: Cross multiply
    340,566,019,214.40x = 510,849,028,821.60 × 340,566,019,214.40
  4. Step 4: Simplify right side
    340,566,019,214.40x = 173,977,820,165,314,623,569,920
  5. Step 5: Solve for x
    x = 173,977,820,165,314,623,569,920/340,566,019,214.40
  6. Step 6: Final answer
    x = 510,849,028,821.60

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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.