Finding the Fourth Proportional to 465,129,219,637.70, 697,693,829,456.55 and 465,129,219,637.70
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Solution
The fourth proportional to 465,129,219,637.70, 697,693,829,456.55 and 465,129,219,637.70 is: 697,693,829,456.55
Step by Step Solution
- Step 1: Write the proportion equation
465,129,219,637.70 : 697,693,829,456.55 = 465,129,219,637.70 : x - Step 2: Convert to fraction form
465,129,219,637.70/697,693,829,456.55 = 465,129,219,637.70/x - Step 3: Cross multiply
465,129,219,637.70x = 697,693,829,456.55 × 465,129,219,637.70 - Step 4: Simplify right side
465,129,219,637.70x = 324,517,786,441,163,657,445,376 - Step 5: Solve for x
x = 324,517,786,441,163,657,445,376/465,129,219,637.70 - Step 6: Final answer
x = 697,693,829,456.55
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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.