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Finding the Fourth Proportional to 68,401,908,007.60, 102,602,862,011.40 and 68,401,908,007.60

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Solution

The fourth proportional to 68,401,908,007.60, 102,602,862,011.40 and 68,401,908,007.60 is: 102,602,862,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,401,908,007.60 : 102,602,862,011.40 = 68,401,908,007.60 : x
  2. Step 2: Convert to fraction form
    68,401,908,007.60/102,602,862,011.40 = 68,401,908,007.60/x
  3. Step 3: Cross multiply
    68,401,908,007.60x = 102,602,862,011.40 × 68,401,908,007.60
  4. Step 4: Simplify right side
    68,401,908,007.60x = 7,018,231,528,620,258,492,416
  5. Step 5: Solve for x
    x = 7,018,231,528,620,258,492,416/68,401,908,007.60
  6. Step 6: Final answer
    x = 102,602,862,011.40

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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.