Finding the Fourth Proportional to 4,277,283,287,021.90, 6,418,563,923,128 and 1,982,119,934,627.10
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Solution
The fourth proportional to 4,277,283,287,021.90, 6,418,563,923,128 and 1,982,119,934,627.10 is: 2,974,402,827,680.93
Step by Step Solution
- Step 1: Write the proportion equation
4,277,283,287,021.90 : 6,418,563,923,128 = 1,982,119,934,627.10 : x - Step 2: Convert to fraction form
4,277,283,287,021.90/6,418,563,923,128 = 1,982,119,934,627.10/x - Step 3: Cross multiply
4,277,283,287,021.90x = 6,418,563,923,128 × 1,982,119,934,627.10 - Step 4: Simplify right side
4,277,283,287,021.90x = 12,722,363,503,710,333,768,302,592 - Step 5: Solve for x
x = 12,722,363,503,710,333,768,302,592/4,277,283,287,021.90 - Step 6: Final answer
x = 2,974,402,827,680.93
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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.