Finding the Fourth Proportional to 698,156,670,789.94, 963,479,977,828.84 and 405,158,908,713.74
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Solution
The fourth proportional to 698,156,670,789.94, 963,479,977,828.84 and 405,158,908,713.74 is: 559,133,089,630.14
Step by Step Solution
- Step 1: Write the proportion equation
698,156,670,789.94 : 963,479,977,828.84 = 405,158,908,713.74 : x - Step 2: Convert to fraction form
698,156,670,789.94/963,479,977,828.84 = 405,158,908,713.74/x - Step 3: Cross multiply
698,156,670,789.94x = 963,479,977,828.84 × 405,158,908,713.74 - Step 4: Simplify right side
698,156,670,789.94x = 390,362,496,384,671,233,867,776 - Step 5: Solve for x
x = 390,362,496,384,671,233,867,776/698,156,670,789.94 - Step 6: Final answer
x = 559,133,089,630.14
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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.