Finding the Fourth Proportional to 51,199,723,843,522, 70,655,688,871,988 and 27,788,153,214,206
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Solution
The fourth proportional to 51,199,723,843,522, 70,655,688,871,988 and 27,788,153,214,206 is: 38,347,689,410,017.96
Step by Step Solution
- Step 1: Write the proportion equation
51,199,723,843,522 : 70,655,688,871,988 = 27,788,153,214,206 : x - Step 2: Convert to fraction form
51,199,723,843,522/70,655,688,871,988 = 27,788,153,214,206/x - Step 3: Cross multiply
51,199,723,843,522x = 70,655,688,871,988 × 27,788,153,214,206 - Step 4: Simplify right side
51,199,723,843,522x = 1,963,391,107,830,072,525,828,653,056 - Step 5: Solve for x
x = 1,963,391,107,830,072,525,828,653,056/51,199,723,843,522 - Step 6: Final answer
x = 38,347,689,410,017.96
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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.