Finding the Fourth Proportional to 1,546,753,191,356.10, 2,134,423,228,133.10 and 852,254,884,331.46
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Solution
The fourth proportional to 1,546,753,191,356.10, 2,134,423,228,133.10 and 852,254,884,331.46 is: 1,176,058,747,816.19
Step by Step Solution
- Step 1: Write the proportion equation
1,546,753,191,356.10 : 2,134,423,228,133.10 = 852,254,884,331.46 : x - Step 2: Convert to fraction form
1,546,753,191,356.10/2,134,423,228,133.10 = 852,254,884,331.46/x - Step 3: Cross multiply
1,546,753,191,356.10x = 2,134,423,228,133.10 × 852,254,884,331.46 - Step 4: Simplify right side
1,546,753,191,356.10x = 1,819,072,621,406,956,665,438,208 - Step 5: Solve for x
x = 1,819,072,621,406,956,665,438,208/1,546,753,191,356.10 - Step 6: Final answer
x = 1,176,058,747,816.19
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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.