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Finding the Fourth Proportional to 563,435,778,851.80, 845,153,668,277.70 and 563,435,778,851.80

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Solution

The fourth proportional to 563,435,778,851.80, 845,153,668,277.70 and 563,435,778,851.80 is: 845,153,668,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,435,778,851.80 : 845,153,668,277.70 = 563,435,778,851.80 : x
  2. Step 2: Convert to fraction form
    563,435,778,851.80/845,153,668,277.70 = 563,435,778,851.80/x
  3. Step 3: Cross multiply
    563,435,778,851.80x = 845,153,668,277.70 × 563,435,778,851.80
  4. Step 4: Simplify right side
    563,435,778,851.80x = 476,189,815,335,501,734,871,040
  5. Step 5: Solve for x
    x = 476,189,815,335,501,734,871,040/563,435,778,851.80
  6. Step 6: Final answer
    x = 845,153,668,277.70

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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.