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Finding the Fourth Proportional to 60,486,102,078.30, 90,554,813,897.40 and 60,486,102,078.30

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Solution

The fourth proportional to 60,486,102,078.30, 90,554,813,897.40 and 60,486,102,078.30 is: 90,554,813,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,486,102,078.30 : 90,554,813,897.40 = 60,486,102,078.30 : x
  2. Step 2: Convert to fraction form
    60,486,102,078.30/90,554,813,897.40 = 60,486,102,078.30/x
  3. Step 3: Cross multiply
    60,486,102,078.30x = 90,554,813,897.40 × 60,486,102,078.30
  4. Step 4: Simplify right side
    60,486,102,078.30x = 5,477,307,717,079,595,483,136
  5. Step 5: Solve for x
    x = 5,477,307,717,079,595,483,136/60,486,102,078.30
  6. Step 6: Final answer
    x = 90,554,813,897.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.