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Finding the Fourth Proportional to 141,461,316,145.80, 212,191,974,218.70 and 141,461,316,145.80

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Solution

The fourth proportional to 141,461,316,145.80, 212,191,974,218.70 and 141,461,316,145.80 is: 212,191,974,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,461,316,145.80 : 212,191,974,218.70 = 141,461,316,145.80 : x
  2. Step 2: Convert to fraction form
    141,461,316,145.80/212,191,974,218.70 = 141,461,316,145.80/x
  3. Step 3: Cross multiply
    141,461,316,145.80x = 212,191,974,218.70 × 141,461,316,145.80
  4. Step 4: Simplify right side
    141,461,316,145.80x = 30,016,955,948,552,964,538,368
  5. Step 5: Solve for x
    x = 30,016,955,948,552,964,538,368/141,461,316,145.80
  6. Step 6: Final answer
    x = 212,191,974,218.70

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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.