Finding the Fourth Proportional to 16,365,338,328,290, 22,584,307,730,748 and 9,334,292,617,897
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Solution
The fourth proportional to 16,365,338,328,290, 22,584,307,730,748 and 9,334,292,617,897 is: 12,881,404,142,254.75
Step by Step Solution
- Step 1: Write the proportion equation
16,365,338,328,290 : 22,584,307,730,748 = 9,334,292,617,897 : x - Step 2: Convert to fraction form
16,365,338,328,290/22,584,307,730,748 = 9,334,292,617,897/x - Step 3: Cross multiply
16,365,338,328,290x = 22,584,307,730,748 × 9,334,292,617,897 - Step 4: Simplify right side
16,365,338,328,290x = 210,808,536,931,435,215,709,011,968 - Step 5: Solve for x
x = 210,808,536,931,435,215,709,011,968/16,365,338,328,290 - Step 6: Final answer
x = 12,881,404,142,254.75
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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.