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Finding the Fourth Proportional to 477,945,253.01, 716,994,492.71 and 201,637,166.98

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Solution

The fourth proportional to 477,945,253.01, 716,994,492.71 and 201,637,166.98 is: 302,488,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,945,253.01 : 716,994,492.71 = 201,637,166.98 : x
  2. Step 2: Convert to fraction form
    477,945,253.01/716,994,492.71 = 201,637,166.98/x
  3. Step 3: Cross multiply
    477,945,253.01x = 716,994,492.71 × 201,637,166.98
  4. Step 4: Simplify right side
    477,945,253.01x = 144,572,738,248,060,608
  5. Step 5: Solve for x
    x = 144,572,738,248,060,608/477,945,253.01
  6. Step 6: Final answer
    x = 302,488,072.30

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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.