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Finding the Fourth Proportional to 30,648,402,456.90, 45,972,603,685.35 and 30,648,402,456.90

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Solution

The fourth proportional to 30,648,402,456.90, 45,972,603,685.35 and 30,648,402,456.90 is: 45,972,603,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648,402,456.90 : 45,972,603,685.35 = 30,648,402,456.90 : x
  2. Step 2: Convert to fraction form
    30,648,402,456.90/45,972,603,685.35 = 30,648,402,456.90/x
  3. Step 3: Cross multiply
    30,648,402,456.90x = 45,972,603,685.35 × 30,648,402,456.90
  4. Step 4: Simplify right side
    30,648,402,456.90x = 1,408,986,859,740,171,075,584
  5. Step 5: Solve for x
    x = 1,408,986,859,740,171,075,584/30,648,402,456.90
  6. Step 6: Final answer
    x = 45,972,603,685.35

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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.