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Finding the Fourth Proportional to 5,677,713,735.40, 8,516,570,603.10 and 5,677,713,735.40

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Solution

The fourth proportional to 5,677,713,735.40, 8,516,570,603.10 and 5,677,713,735.40 is: 8,516,570,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,713,735.40 : 8,516,570,603.10 = 5,677,713,735.40 : x
  2. Step 2: Convert to fraction form
    5,677,713,735.40/8,516,570,603.10 = 5,677,713,735.40/x
  3. Step 3: Cross multiply
    5,677,713,735.40x = 8,516,570,603.10 × 5,677,713,735.40
  4. Step 4: Simplify right side
    5,677,713,735.40x = 48,354,649,891,724,730,368
  5. Step 5: Solve for x
    x = 48,354,649,891,724,730,368/5,677,713,735.40
  6. Step 6: Final answer
    x = 8,516,570,603.10

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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.