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Finding the Fourth Proportional to 447,956,376,539.40, 671,934,564,809.10 and 447,956,376,539.40

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Solution

The fourth proportional to 447,956,376,539.40, 671,934,564,809.10 and 447,956,376,539.40 is: 671,934,564,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,956,376,539.40 : 671,934,564,809.10 = 447,956,376,539.40 : x
  2. Step 2: Convert to fraction form
    447,956,376,539.40/671,934,564,809.10 = 447,956,376,539.40/x
  3. Step 3: Cross multiply
    447,956,376,539.40x = 671,934,564,809.10 × 447,956,376,539.40
  4. Step 4: Simplify right side
    447,956,376,539.40x = 300,997,372,923,463,092,666,368
  5. Step 5: Solve for x
    x = 300,997,372,923,463,092,666,368/447,956,376,539.40
  6. Step 6: Final answer
    x = 671,934,564,809.10

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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.