Finding the Fourth Proportional to 11,742,122,645,709, 16,204,631,478,740 and 6,539,550,480,463.20
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Solution
The fourth proportional to 11,742,122,645,709, 16,204,631,478,740 and 6,539,550,480,463.20 is: 9,024,859,369,123.43
Step by Step Solution
- Step 1: Write the proportion equation
11,742,122,645,709 : 16,204,631,478,740 = 6,539,550,480,463.20 : x - Step 2: Convert to fraction form
11,742,122,645,709/16,204,631,478,740 = 6,539,550,480,463.20/x - Step 3: Cross multiply
11,742,122,645,709x = 16,204,631,478,740 × 6,539,550,480,463.20 - Step 4: Simplify right side
11,742,122,645,709x = 105,971,005,572,523,260,658,057,216 - Step 5: Solve for x
x = 105,971,005,572,523,260,658,057,216/11,742,122,645,709 - Step 6: Final answer
x = 9,024,859,369,123.43
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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.