Finding the Fourth Proportional to 11,742,122,645,712, 16,204,631,478,747 and 6,539,550,480,466
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Solution
The fourth proportional to 11,742,122,645,712, 16,204,631,478,747 and 6,539,550,480,466 is: 9,024,859,369,128.89
Step by Step Solution
- Step 1: Write the proportion equation
11,742,122,645,712 : 16,204,631,478,747 = 6,539,550,480,466 : x - Step 2: Convert to fraction form
11,742,122,645,712/16,204,631,478,747 = 6,539,550,480,466/x - Step 3: Cross multiply
11,742,122,645,712x = 16,204,631,478,747 × 6,539,550,480,466 - Step 4: Simplify right side
11,742,122,645,712x = 105,971,005,572,614,417,043,947,520 - Step 5: Solve for x
x = 105,971,005,572,614,417,043,947,520/11,742,122,645,712 - Step 6: Final answer
x = 9,024,859,369,128.89
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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.