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Finding the Fourth Proportional to 53,852,688,019.20, 80,779,032,028.80 and 53,852,688,019.20

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Solution

The fourth proportional to 53,852,688,019.20, 80,779,032,028.80 and 53,852,688,019.20 is: 80,779,032,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852,688,019.20 : 80,779,032,028.80 = 53,852,688,019.20 : x
  2. Step 2: Convert to fraction form
    53,852,688,019.20/80,779,032,028.80 = 53,852,688,019.20/x
  3. Step 3: Cross multiply
    53,852,688,019.20x = 80,779,032,028.80 × 53,852,688,019.20
  4. Step 4: Simplify right side
    53,852,688,019.20x = 4,350,168,010,339,930,603,520
  5. Step 5: Solve for x
    x = 4,350,168,010,339,930,603,520/53,852,688,019.20
  6. Step 6: Final answer
    x = 80,779,032,028.80

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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.