Finding the Fourth Proportional to 2,440,038,208,640.80, 3,658,926,302,971.40 and 909,803,640,693.20
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Solution
The fourth proportional to 2,440,038,208,640.80, 3,658,926,302,971.40 and 909,803,640,693.20 is: 1,364,283,747,558.95
Step by Step Solution
- Step 1: Write the proportion equation
2,440,038,208,640.80 : 3,658,926,302,971.40 = 909,803,640,693.20 : x - Step 2: Convert to fraction form
2,440,038,208,640.80/3,658,926,302,971.40 = 909,803,640,693.20/x - Step 3: Cross multiply
2,440,038,208,640.80x = 3,658,926,302,971.40 × 909,803,640,693.20 - Step 4: Simplify right side
2,440,038,208,640.80x = 3,328,904,471,471,490,196,307,968 - Step 5: Solve for x
x = 3,328,904,471,471,490,196,307,968/2,440,038,208,640.80 - Step 6: Final answer
x = 1,364,283,747,558.95
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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.