Finding the Fourth Proportional to 860,312,155,496.48, 1,289,832,046,367.70 and 520,275,737,645.23
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Solution
The fourth proportional to 860,312,155,496.48, 1,289,832,046,367.70 and 520,275,737,645.23 is: 780,028,871,003.39
Step by Step Solution
- Step 1: Write the proportion equation
860,312,155,496.48 : 1,289,832,046,367.70 = 520,275,737,645.23 : x - Step 2: Convert to fraction form
860,312,155,496.48/1,289,832,046,367.70 = 520,275,737,645.23/x - Step 3: Cross multiply
860,312,155,496.48x = 1,289,832,046,367.70 × 520,275,737,645.23 - Step 4: Simplify right side
860,312,155,496.48x = 671,068,319,362,411,634,098,176 - Step 5: Solve for x
x = 671,068,319,362,411,634,098,176/860,312,155,496.48 - Step 6: Final answer
x = 780,028,871,003.39
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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.