Finding the Fourth Proportional to 51,293,313,655,572, 70,784,818,456,196 and 27,881,742,666,104
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Solution
The fourth proportional to 51,293,313,655,572, 70,784,818,456,196 and 27,881,742,666,104 is: 38,476,829,672,480.19
Step by Step Solution
- Step 1: Write the proportion equation
51,293,313,655,572 : 70,784,818,456,196 = 27,881,742,666,104 : x - Step 2: Convert to fraction form
51,293,313,655,572/70,784,818,456,196 = 27,881,742,666,104/x - Step 3: Cross multiply
51,293,313,655,572x = 70,784,818,456,196 × 27,881,742,666,104 - Step 4: Simplify right side
51,293,313,655,572x = 1,973,604,092,862,545,898,617,438,208 - Step 5: Solve for x
x = 1,973,604,092,862,545,898,617,438,208/51,293,313,655,572 - Step 6: Final answer
x = 38,476,829,672,480.19
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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.