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Finding the Fourth Proportional to 1,164,406,477.17, 1,606,868,751.51 and 635,768,824.80

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Solution

The fourth proportional to 1,164,406,477.17, 1,606,868,751.51 and 635,768,824.80 is: 877,354,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,406,477.17 : 1,606,868,751.51 = 635,768,824.80 : x
  2. Step 2: Convert to fraction form
    1,164,406,477.17/1,606,868,751.51 = 635,768,824.80/x
  3. Step 3: Cross multiply
    1,164,406,477.17x = 1,606,868,751.51 × 635,768,824.80
  4. Step 4: Simplify right side
    1,164,406,477.17x = 1,021,597,057,755,355,904
  5. Step 5: Solve for x
    x = 1,021,597,057,755,355,904/1,164,406,477.17
  6. Step 6: Final answer
    x = 877,354,324.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.