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Finding the Fourth Proportional to 804,830,813.70, 1,207,246,220.55 and 804,830,813.70

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Solution

The fourth proportional to 804,830,813.70, 1,207,246,220.55 and 804,830,813.70 is: 1,207,246,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,830,813.70 : 1,207,246,220.55 = 804,830,813.70 : x
  2. Step 2: Convert to fraction form
    804,830,813.70/1,207,246,220.55 = 804,830,813.70/x
  3. Step 3: Cross multiply
    804,830,813.70x = 1,207,246,220.55 × 804,830,813.70
  4. Step 4: Simplify right side
    804,830,813.70x = 971,628,958,021,506,176
  5. Step 5: Solve for x
    x = 971,628,958,021,506,176/804,830,813.70
  6. Step 6: Final answer
    x = 1,207,246,220.55

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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.