Finding the Fourth Proportional to 1,122,208,267,681.90, 1,682,406,536,645.10 and 1,031,626,608,203
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Solution
The fourth proportional to 1,122,208,267,681.90, 1,682,406,536,645.10 and 1,031,626,608,203 is: 1,546,607,166,424.58
Step by Step Solution
- Step 1: Write the proportion equation
1,122,208,267,681.90 : 1,682,406,536,645.10 = 1,031,626,608,203 : x - Step 2: Convert to fraction form
1,122,208,267,681.90/1,682,406,536,645.10 = 1,031,626,608,203/x - Step 3: Cross multiply
1,122,208,267,681.90x = 1,682,406,536,645.10 × 1,031,626,608,203 - Step 4: Simplify right side
1,122,208,267,681.90x = 1,735,615,349,017,740,862,029,824 - Step 5: Solve for x
x = 1,735,615,349,017,740,862,029,824/1,122,208,267,681.90 - Step 6: Final answer
x = 1,546,607,166,424.58
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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.