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Finding the Fourth Proportional to 769,559,386.38, 1,061,963,502 and 417,127,810.30

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Solution

The fourth proportional to 769,559,386.38, 1,061,963,502 and 417,127,810.30 is: 575,620,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,559,386.38 : 1,061,963,502 = 417,127,810.30 : x
  2. Step 2: Convert to fraction form
    769,559,386.38/1,061,963,502 = 417,127,810.30/x
  3. Step 3: Cross multiply
    769,559,386.38x = 1,061,963,502 × 417,127,810.30
  4. Step 4: Simplify right side
    769,559,386.38x = 442,974,510,205,124,800
  5. Step 5: Solve for x
    x = 442,974,510,205,124,800/769,559,386.38
  6. Step 6: Final answer
    x = 575,620,956.67

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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.