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Finding the Fourth Proportional to 72,401,963,114.40, 108,602,944,671.60 and 72,401,963,114.40

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Solution

The fourth proportional to 72,401,963,114.40, 108,602,944,671.60 and 72,401,963,114.40 is: 108,602,944,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,401,963,114.40 : 108,602,944,671.60 = 72,401,963,114.40 : x
  2. Step 2: Convert to fraction form
    72,401,963,114.40/108,602,944,671.60 = 72,401,963,114.40/x
  3. Step 3: Cross multiply
    72,401,963,114.40x = 108,602,944,671.60 × 72,401,963,114.40
  4. Step 4: Simplify right side
    72,401,963,114.40x = 7,863,066,394,228,406,878,208
  5. Step 5: Solve for x
    x = 7,863,066,394,228,406,878,208/72,401,963,114.40
  6. Step 6: Final answer
    x = 108,602,944,671.60

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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.